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Finding the Third Proportional to 37,930.78 and 82,115.02

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Solution

The third proportional to 37,930.78 and 82,115.02 is: 177,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,930.78 : 82,115.02 = 82,115.02 : x
  2. Step 2: Convert to fraction form
    37,930.78/82,115.02 = 82,115.02/x
  3. Step 3: Cross multiply
    37,930.78x = 82,115.02 × 82,115.02
  4. Step 4: Simplify right side
    37,930.78x = 6,742,875,791.09
  5. Step 5: Solve for x
    x = 6,742,875,791.09/37,930.78
  6. Step 6: Final answer
    x = 177,767.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.