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Finding the Third Proportional to 10,394 and 22,452

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Solution

The third proportional to 10,394 and 22,452 is: 48,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394 : 22,452 = 22,452 : x
  2. Step 2: Convert to fraction form
    10,394/22,452 = 22,452/x
  3. Step 3: Cross multiply
    10,394x = 22,452 × 22,452
  4. Step 4: Simplify right side
    10,394x = 504,092,304
  5. Step 5: Solve for x
    x = 504,092,304/10,394
  6. Step 6: Final answer
    x = 48,498.39

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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.