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Finding the Third Proportional to 37,044 and 79,879

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Solution

The third proportional to 37,044 and 79,879 is: 172,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,044 : 79,879 = 79,879 : x
  2. Step 2: Convert to fraction form
    37,044/79,879 = 79,879/x
  3. Step 3: Cross multiply
    37,044x = 79,879 × 79,879
  4. Step 4: Simplify right side
    37,044x = 6,380,654,641
  5. Step 5: Solve for x
    x = 6,380,654,641/37,044
  6. Step 6: Final answer
    x = 172,245.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.