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Finding the Third Proportional to 38,031.75 and 82,502.75

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Solution

The third proportional to 38,031.75 and 82,502.75 is: 178,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,031.75 : 82,502.75 = 82,502.75 : x
  2. Step 2: Convert to fraction form
    38,031.75/82,502.75 = 82,502.75/x
  3. Step 3: Cross multiply
    38,031.75x = 82,502.75 × 82,502.75
  4. Step 4: Simplify right side
    38,031.75x = 6,806,703,757.56
  5. Step 5: Solve for x
    x = 6,806,703,757.56/38,031.75
  6. Step 6: Final answer
    x = 178,974.25

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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.