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Finding the Third Proportional to 15,660 and 24,238

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Solution

The third proportional to 15,660 and 24,238 is: 37,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,660 : 24,238 = 24,238 : x
  2. Step 2: Convert to fraction form
    15,660/24,238 = 24,238/x
  3. Step 3: Cross multiply
    15,660x = 24,238 × 24,238
  4. Step 4: Simplify right side
    15,660x = 587,480,644
  5. Step 5: Solve for x
    x = 587,480,644/15,660
  6. Step 6: Final answer
    x = 37,514.73

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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.