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Finding the Third Proportional to 24,418 and 52,292

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Solution

The third proportional to 24,418 and 52,292 is: 111,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,418 : 52,292 = 52,292 : x
  2. Step 2: Convert to fraction form
    24,418/52,292 = 52,292/x
  3. Step 3: Cross multiply
    24,418x = 52,292 × 52,292
  4. Step 4: Simplify right side
    24,418x = 2,734,453,264
  5. Step 5: Solve for x
    x = 2,734,453,264/24,418
  6. Step 6: Final answer
    x = 111,985.14

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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.