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Finding the Third Proportional to 24,944 and 53,542

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Solution

The third proportional to 24,944 and 53,542 is: 114,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,944 : 53,542 = 53,542 : x
  2. Step 2: Convert to fraction form
    24,944/53,542 = 53,542/x
  3. Step 3: Cross multiply
    24,944x = 53,542 × 53,542
  4. Step 4: Simplify right side
    24,944x = 2,866,745,764
  5. Step 5: Solve for x
    x = 2,866,745,764/24,944
  6. Step 6: Final answer
    x = 114,927.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.