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Finding the Third Proportional to 29,674 and 80,785

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Solution

The third proportional to 29,674 and 80,785 is: 219,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674 : 80,785 = 80,785 : x
  2. Step 2: Convert to fraction form
    29,674/80,785 = 80,785/x
  3. Step 3: Cross multiply
    29,674x = 80,785 × 80,785
  4. Step 4: Simplify right side
    29,674x = 6,526,216,225
  5. Step 5: Solve for x
    x = 6,526,216,225/29,674
  6. Step 6: Final answer
    x = 219,930.45

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.