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Finding the Third Proportional to 38,569 and 57,854

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Solution

The third proportional to 38,569 and 57,854 is: 86,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569 : 57,854 = 57,854 : x
  2. Step 2: Convert to fraction form
    38,569/57,854 = 57,854/x
  3. Step 3: Cross multiply
    38,569x = 57,854 × 57,854
  4. Step 4: Simplify right side
    38,569x = 3,347,085,316
  5. Step 5: Solve for x
    x = 3,347,085,316/38,569
  6. Step 6: Final answer
    x = 86,781.75

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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.