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Finding the Third Proportional to 38,974.50 and 80,730

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Solution

The third proportional to 38,974.50 and 80,730 is: 167,220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974.50 : 80,730 = 80,730 : x
  2. Step 2: Convert to fraction form
    38,974.50/80,730 = 80,730/x
  3. Step 3: Cross multiply
    38,974.50x = 80,730 × 80,730
  4. Step 4: Simplify right side
    38,974.50x = 6,517,332,900
  5. Step 5: Solve for x
    x = 6,517,332,900/38,974.50
  6. Step 6: Final answer
    x = 167,220.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.