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Finding the Third Proportional to 11,998.13 and 25,089.75

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Solution

The third proportional to 11,998.13 and 25,089.75 is: 52,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.13 : 25,089.75 = 25,089.75 : x
  2. Step 2: Convert to fraction form
    11,998.13/25,089.75 = 25,089.75/x
  3. Step 3: Cross multiply
    11,998.13x = 25,089.75 × 25,089.75
  4. Step 4: Simplify right side
    11,998.13x = 629,495,555.06
  5. Step 5: Solve for x
    x = 629,495,555.06/11,998.13
  6. Step 6: Final answer
    x = 52,466.16

Related Problems

Find third proportional to 5,999.06 and 12,544.88
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.