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Finding the Third Proportional to 12,449.91 and 26,974.13

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Solution

The third proportional to 12,449.91 and 26,974.13 is: 58,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.91 : 26,974.13 = 26,974.13 : x
  2. Step 2: Convert to fraction form
    12,449.91/26,974.13 = 26,974.13/x
  3. Step 3: Cross multiply
    12,449.91x = 26,974.13 × 26,974.13
  4. Step 4: Simplify right side
    12,449.91x = 727,603,419.52
  5. Step 5: Solve for x
    x = 727,603,419.52/12,449.91
  6. Step 6: Final answer
    x = 58,442.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.