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Finding the Third Proportional to 15,714 and 37,525

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Solution

The third proportional to 15,714 and 37,525 is: 89,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714 : 37,525 = 37,525 : x
  2. Step 2: Convert to fraction form
    15,714/37,525 = 37,525/x
  3. Step 3: Cross multiply
    15,714x = 37,525 × 37,525
  4. Step 4: Simplify right side
    15,714x = 1,408,125,625
  5. Step 5: Solve for x
    x = 1,408,125,625/15,714
  6. Step 6: Final answer
    x = 89,609.62

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.