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Finding the Third Proportional to 12,472 and 25,292

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Solution

The third proportional to 12,472 and 25,292 is: 51,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472 : 25,292 = 25,292 : x
  2. Step 2: Convert to fraction form
    12,472/25,292 = 25,292/x
  3. Step 3: Cross multiply
    12,472x = 25,292 × 25,292
  4. Step 4: Simplify right side
    12,472x = 639,685,264
  5. Step 5: Solve for x
    x = 639,685,264/12,472
  6. Step 6: Final answer
    x = 51,289.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.