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Finding the Third Proportional to 12,654 and 20,331

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Solution

The third proportional to 12,654 and 20,331 is: 32,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654 : 20,331 = 20,331 : x
  2. Step 2: Convert to fraction form
    12,654/20,331 = 20,331/x
  3. Step 3: Cross multiply
    12,654x = 20,331 × 20,331
  4. Step 4: Simplify right side
    12,654x = 413,349,561
  5. Step 5: Solve for x
    x = 413,349,561/12,654
  6. Step 6: Final answer
    x = 32,665.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.