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Finding the Third Proportional to 38,674.13 and 82,231.88

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Solution

The third proportional to 38,674.13 and 82,231.88 is: 174,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,674.13 : 82,231.88 = 82,231.88 : x
  2. Step 2: Convert to fraction form
    38,674.13/82,231.88 = 82,231.88/x
  3. Step 3: Cross multiply
    38,674.13x = 82,231.88 × 82,231.88
  4. Step 4: Simplify right side
    38,674.13x = 6,762,081,266.02
  5. Step 5: Solve for x
    x = 6,762,081,266.02/38,674.13
  6. Step 6: Final answer
    x = 174,847.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.