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Finding the Third Proportional to 37,915.59 and 57,344.20

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Solution

The third proportional to 37,915.59 and 57,344.20 is: 86,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,915.59 : 57,344.20 = 57,344.20 : x
  2. Step 2: Convert to fraction form
    37,915.59/57,344.20 = 57,344.20/x
  3. Step 3: Cross multiply
    37,915.59x = 57,344.20 × 57,344.20
  4. Step 4: Simplify right side
    37,915.59x = 3,288,357,632.04
  5. Step 5: Solve for x
    x = 3,288,357,632.04/37,915.59
  6. Step 6: Final answer
    x = 86,728.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.