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Finding the Third Proportional to 37,742 and 79,982

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Solution

The third proportional to 37,742 and 79,982 is: 169,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,742 : 79,982 = 79,982 : x
  2. Step 2: Convert to fraction form
    37,742/79,982 = 79,982/x
  3. Step 3: Cross multiply
    37,742x = 79,982 × 79,982
  4. Step 4: Simplify right side
    37,742x = 6,397,120,324
  5. Step 5: Solve for x
    x = 6,397,120,324/37,742
  6. Step 6: Final answer
    x = 169,496.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.