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Finding the Third Proportional to 40,662 and 59,140.13

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Solution

The third proportional to 40,662 and 59,140.13 is: 86,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,662 : 59,140.13 = 59,140.13 : x
  2. Step 2: Convert to fraction form
    40,662/59,140.13 = 59,140.13/x
  3. Step 3: Cross multiply
    40,662x = 59,140.13 × 59,140.13
  4. Step 4: Simplify right side
    40,662x = 3,497,554,385.02
  5. Step 5: Solve for x
    x = 3,497,554,385.02/40,662
  6. Step 6: Final answer
    x = 86,015.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.