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Finding the Third Proportional to 14,105.39 and 30,640.78

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Solution

The third proportional to 14,105.39 and 30,640.78 is: 66,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.39 : 30,640.78 = 30,640.78 : x
  2. Step 2: Convert to fraction form
    14,105.39/30,640.78 = 30,640.78/x
  3. Step 3: Cross multiply
    14,105.39x = 30,640.78 × 30,640.78
  4. Step 4: Simplify right side
    14,105.39x = 938,857,475.61
  5. Step 5: Solve for x
    x = 938,857,475.61/14,105.39
  6. Step 6: Final answer
    x = 66,560.19

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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.