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Finding the Third Proportional to 37,707 and 79,293

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Solution

The third proportional to 37,707 and 79,293 is: 166,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,707 : 79,293 = 79,293 : x
  2. Step 2: Convert to fraction form
    37,707/79,293 = 79,293/x
  3. Step 3: Cross multiply
    37,707x = 79,293 × 79,293
  4. Step 4: Simplify right side
    37,707x = 6,287,379,849
  5. Step 5: Solve for x
    x = 6,287,379,849/37,707
  6. Step 6: Final answer
    x = 166,743.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.