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Finding the Third Proportional to 21,614 and 47,452

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Solution

The third proportional to 21,614 and 47,452 is: 104,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614 : 47,452 = 47,452 : x
  2. Step 2: Convert to fraction form
    21,614/47,452 = 47,452/x
  3. Step 3: Cross multiply
    21,614x = 47,452 × 47,452
  4. Step 4: Simplify right side
    21,614x = 2,251,692,304
  5. Step 5: Solve for x
    x = 2,251,692,304/21,614
  6. Step 6: Final answer
    x = 104,177.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.