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Finding the Third Proportional to 54,650 and 77,475

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Solution

The third proportional to 54,650 and 77,475 is: 109,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,650 : 77,475 = 77,475 : x
  2. Step 2: Convert to fraction form
    54,650/77,475 = 77,475/x
  3. Step 3: Cross multiply
    54,650x = 77,475 × 77,475
  4. Step 4: Simplify right side
    54,650x = 6,002,375,625
  5. Step 5: Solve for x
    x = 6,002,375,625/54,650
  6. Step 6: Final answer
    x = 109,833.04

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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.