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Finding the Third Proportional to 12,049 and 26,366

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Solution

The third proportional to 12,049 and 26,366 is: 57,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049 : 26,366 = 26,366 : x
  2. Step 2: Convert to fraction form
    12,049/26,366 = 26,366/x
  3. Step 3: Cross multiply
    12,049x = 26,366 × 26,366
  4. Step 4: Simplify right side
    12,049x = 695,165,956
  5. Step 5: Solve for x
    x = 695,165,956/12,049
  6. Step 6: Final answer
    x = 57,694.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.