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Finding the Third Proportional to 12,514 and 27,489

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Solution

The third proportional to 12,514 and 27,489 is: 60,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514 : 27,489 = 27,489 : x
  2. Step 2: Convert to fraction form
    12,514/27,489 = 27,489/x
  3. Step 3: Cross multiply
    12,514x = 27,489 × 27,489
  4. Step 4: Simplify right side
    12,514x = 755,645,121
  5. Step 5: Solve for x
    x = 755,645,121/12,514
  6. Step 6: Final answer
    x = 60,383.98

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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.