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Finding the Third Proportional to 38,482 and 57,569

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Solution

The third proportional to 38,482 and 57,569 is: 86,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,482 : 57,569 = 57,569 : x
  2. Step 2: Convert to fraction form
    38,482/57,569 = 57,569/x
  3. Step 3: Cross multiply
    38,482x = 57,569 × 57,569
  4. Step 4: Simplify right side
    38,482x = 3,314,189,761
  5. Step 5: Solve for x
    x = 3,314,189,761/38,482
  6. Step 6: Final answer
    x = 86,123.12

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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.