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Finding the Third Proportional to 38,237.91 and 82,012.92

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Solution

The third proportional to 38,237.91 and 82,012.92 is: 175,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,237.91 : 82,012.92 = 82,012.92 : x
  2. Step 2: Convert to fraction form
    38,237.91/82,012.92 = 82,012.92/x
  3. Step 3: Cross multiply
    38,237.91x = 82,012.92 × 82,012.92
  4. Step 4: Simplify right side
    38,237.91x = 6,726,119,354.47
  5. Step 5: Solve for x
    x = 6,726,119,354.47/38,237.91
  6. Step 6: Final answer
    x = 175,901.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.