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Finding the Third Proportional to 24,523 and 52,934

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Solution

The third proportional to 24,523 and 52,934 is: 114,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523 : 52,934 = 52,934 : x
  2. Step 2: Convert to fraction form
    24,523/52,934 = 52,934/x
  3. Step 3: Cross multiply
    24,523x = 52,934 × 52,934
  4. Step 4: Simplify right side
    24,523x = 2,802,008,356
  5. Step 5: Solve for x
    x = 2,802,008,356/24,523
  6. Step 6: Final answer
    x = 114,260.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.