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Finding the Third Proportional to 24,170 and 37,349

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Solution

The third proportional to 24,170 and 37,349 is: 57,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,170 : 37,349 = 37,349 : x
  2. Step 2: Convert to fraction form
    24,170/37,349 = 37,349/x
  3. Step 3: Cross multiply
    24,170x = 37,349 × 37,349
  4. Step 4: Simplify right side
    24,170x = 1,394,947,801
  5. Step 5: Solve for x
    x = 1,394,947,801/24,170
  6. Step 6: Final answer
    x = 57,714.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.