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Finding the Third Proportional to 38,772 and 52,569

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Solution

The third proportional to 38,772 and 52,569 is: 71,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,772 : 52,569 = 52,569 : x
  2. Step 2: Convert to fraction form
    38,772/52,569 = 52,569/x
  3. Step 3: Cross multiply
    38,772x = 52,569 × 52,569
  4. Step 4: Simplify right side
    38,772x = 2,763,499,761
  5. Step 5: Solve for x
    x = 2,763,499,761/38,772
  6. Step 6: Final answer
    x = 71,275.66

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.