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Finding the Third Proportional to 38,272 and 57,448

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Solution

The third proportional to 38,272 and 57,448 is: 86,232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272 : 57,448 = 57,448 : x
  2. Step 2: Convert to fraction form
    38,272/57,448 = 57,448/x
  3. Step 3: Cross multiply
    38,272x = 57,448 × 57,448
  4. Step 4: Simplify right side
    38,272x = 3,300,272,704
  5. Step 5: Solve for x
    x = 3,300,272,704/38,272
  6. Step 6: Final answer
    x = 86,232.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.