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Finding the Third Proportional to 11,966.06 and 26,377.13

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Solution

The third proportional to 11,966.06 and 26,377.13 is: 58,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.06 : 26,377.13 = 26,377.13 : x
  2. Step 2: Convert to fraction form
    11,966.06/26,377.13 = 26,377.13/x
  3. Step 3: Cross multiply
    11,966.06x = 26,377.13 × 26,377.13
  4. Step 4: Simplify right side
    11,966.06x = 695,752,723.27
  5. Step 5: Solve for x
    x = 695,752,723.27/11,966.06
  6. Step 6: Final answer
    x = 58,143.83

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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.