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Finding the Third Proportional to 10,540.13 and 11,998.13

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Solution

The third proportional to 10,540.13 and 11,998.13 is: 13,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.13 : 11,998.13 = 11,998.13 : x
  2. Step 2: Convert to fraction form
    10,540.13/11,998.13 = 11,998.13/x
  3. Step 3: Cross multiply
    10,540.13x = 11,998.13 × 11,998.13
  4. Step 4: Simplify right side
    10,540.13x = 143,955,003.52
  5. Step 5: Solve for x
    x = 143,955,003.52/10,540.13
  6. Step 6: Final answer
    x = 13,657.81

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.