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Finding the Third Proportional to 24,464 and 52,384

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Solution

The third proportional to 24,464 and 52,384 is: 112,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464 : 52,384 = 52,384 : x
  2. Step 2: Convert to fraction form
    24,464/52,384 = 52,384/x
  3. Step 3: Cross multiply
    24,464x = 52,384 × 52,384
  4. Step 4: Simplify right side
    24,464x = 2,744,083,456
  5. Step 5: Solve for x
    x = 2,744,083,456/24,464
  6. Step 6: Final answer
    x = 112,168.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.