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Finding the Third Proportional to 37,006 and 79,920

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Solution

The third proportional to 37,006 and 79,920 is: 172,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,006 : 79,920 = 79,920 : x
  2. Step 2: Convert to fraction form
    37,006/79,920 = 79,920/x
  3. Step 3: Cross multiply
    37,006x = 79,920 × 79,920
  4. Step 4: Simplify right side
    37,006x = 6,387,206,400
  5. Step 5: Solve for x
    x = 6,387,206,400/37,006
  6. Step 6: Final answer
    x = 172,599.21

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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.