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Finding the Third Proportional to 37,972 and 80,828

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Solution

The third proportional to 37,972 and 80,828 is: 172,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,972 : 80,828 = 80,828 : x
  2. Step 2: Convert to fraction form
    37,972/80,828 = 80,828/x
  3. Step 3: Cross multiply
    37,972x = 80,828 × 80,828
  4. Step 4: Simplify right side
    37,972x = 6,533,165,584
  5. Step 5: Solve for x
    x = 6,533,165,584/37,972
  6. Step 6: Final answer
    x = 172,052.19

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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.