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Finding the Third Proportional to 38,754 and 54,850

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Solution

The third proportional to 38,754 and 54,850 is: 77,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,754 : 54,850 = 54,850 : x
  2. Step 2: Convert to fraction form
    38,754/54,850 = 54,850/x
  3. Step 3: Cross multiply
    38,754x = 54,850 × 54,850
  4. Step 4: Simplify right side
    38,754x = 3,008,522,500
  5. Step 5: Solve for x
    x = 3,008,522,500/38,754
  6. Step 6: Final answer
    x = 77,631.28

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.