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Finding the Third Proportional to 38,007.67 and 82,354.22

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Solution

The third proportional to 38,007.67 and 82,354.22 is: 178,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,007.67 : 82,354.22 = 82,354.22 : x
  2. Step 2: Convert to fraction form
    38,007.67/82,354.22 = 82,354.22/x
  3. Step 3: Cross multiply
    38,007.67x = 82,354.22 × 82,354.22
  4. Step 4: Simplify right side
    38,007.67x = 6,782,217,345.92
  5. Step 5: Solve for x
    x = 6,782,217,345.92/38,007.67
  6. Step 6: Final answer
    x = 178,443.40

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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.