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Finding the Third Proportional to 27,387.75 and 58,926.75

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Solution

The third proportional to 27,387.75 and 58,926.75 is: 126,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,387.75 : 58,926.75 = 58,926.75 : x
  2. Step 2: Convert to fraction form
    27,387.75/58,926.75 = 58,926.75/x
  3. Step 3: Cross multiply
    27,387.75x = 58,926.75 × 58,926.75
  4. Step 4: Simplify right side
    27,387.75x = 3,472,361,865.56
  5. Step 5: Solve for x
    x = 3,472,361,865.56/27,387.75
  6. Step 6: Final answer
    x = 126,785.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.