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Finding the Third Proportional to 27,132.47 and 58,418.72

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Solution

The third proportional to 27,132.47 and 58,418.72 is: 125,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.47 : 58,418.72 = 58,418.72 : x
  2. Step 2: Convert to fraction form
    27,132.47/58,418.72 = 58,418.72/x
  3. Step 3: Cross multiply
    27,132.47x = 58,418.72 × 58,418.72
  4. Step 4: Simplify right side
    27,132.47x = 3,412,746,700.39
  5. Step 5: Solve for x
    x = 3,412,746,700.39/27,132.47
  6. Step 6: Final answer
    x = 125,780.91

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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.