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Finding the Third Proportional to 12,414.38 and 29,279.25

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Solution

The third proportional to 12,414.38 and 29,279.25 is: 69,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.38 : 29,279.25 = 29,279.25 : x
  2. Step 2: Convert to fraction form
    12,414.38/29,279.25 = 29,279.25/x
  3. Step 3: Cross multiply
    12,414.38x = 29,279.25 × 29,279.25
  4. Step 4: Simplify right side
    12,414.38x = 857,274,480.56
  5. Step 5: Solve for x
    x = 857,274,480.56/12,414.38
  6. Step 6: Final answer
    x = 69,054.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.