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Finding the Third Proportional to 12,471 and 26,373

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Solution

The third proportional to 12,471 and 26,373 is: 55,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471 : 26,373 = 26,373 : x
  2. Step 2: Convert to fraction form
    12,471/26,373 = 26,373/x
  3. Step 3: Cross multiply
    12,471x = 26,373 × 26,373
  4. Step 4: Simplify right side
    12,471x = 695,535,129
  5. Step 5: Solve for x
    x = 695,535,129/12,471
  6. Step 6: Final answer
    x = 55,772.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.