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Finding the Third Proportional to 11,998.13 and 19,029.94

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Solution

The third proportional to 11,998.13 and 19,029.94 is: 30,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.13 : 19,029.94 = 19,029.94 : x
  2. Step 2: Convert to fraction form
    11,998.13/19,029.94 = 19,029.94/x
  3. Step 3: Cross multiply
    11,998.13x = 19,029.94 × 19,029.94
  4. Step 4: Simplify right side
    11,998.13x = 362,138,521.25
  5. Step 5: Solve for x
    x = 362,138,521.25/11,998.13
  6. Step 6: Final answer
    x = 30,182.93

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.