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Finding the Third Proportional to 24,933 and 54,559

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Solution

The third proportional to 24,933 and 54,559 is: 119,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,933 : 54,559 = 54,559 : x
  2. Step 2: Convert to fraction form
    24,933/54,559 = 54,559/x
  3. Step 3: Cross multiply
    24,933x = 54,559 × 54,559
  4. Step 4: Simplify right side
    24,933x = 2,976,684,481
  5. Step 5: Solve for x
    x = 2,976,684,481/24,933
  6. Step 6: Final answer
    x = 119,387.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.