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Finding the Third Proportional to 27,934.88 and 43,147.69

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Solution

The third proportional to 27,934.88 and 43,147.69 is: 66,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.88 : 43,147.69 = 43,147.69 : x
  2. Step 2: Convert to fraction form
    27,934.88/43,147.69 = 43,147.69/x
  3. Step 3: Cross multiply
    27,934.88x = 43,147.69 × 43,147.69
  4. Step 4: Simplify right side
    27,934.88x = 1,861,722,936.60
  5. Step 5: Solve for x
    x = 1,861,722,936.60/27,934.88
  6. Step 6: Final answer
    x = 66,645.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.