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Finding the Third Proportional to 37,560.38 and 81,685.13

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Solution

The third proportional to 37,560.38 and 81,685.13 is: 177,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,560.38 : 81,685.13 = 81,685.13 : x
  2. Step 2: Convert to fraction form
    37,560.38/81,685.13 = 81,685.13/x
  3. Step 3: Cross multiply
    37,560.38x = 81,685.13 × 81,685.13
  4. Step 4: Simplify right side
    37,560.38x = 6,672,459,646.27
  5. Step 5: Solve for x
    x = 6,672,459,646.27/37,560.38
  6. Step 6: Final answer
    x = 177,646.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.