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Finding the Third Proportional to 37,770 and 79,860

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Solution

The third proportional to 37,770 and 79,860 is: 168,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,770 : 79,860 = 79,860 : x
  2. Step 2: Convert to fraction form
    37,770/79,860 = 79,860/x
  3. Step 3: Cross multiply
    37,770x = 79,860 × 79,860
  4. Step 4: Simplify right side
    37,770x = 6,377,619,600
  5. Step 5: Solve for x
    x = 6,377,619,600/37,770
  6. Step 6: Final answer
    x = 168,854.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.