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Finding the Third Proportional to 37,750 and 79,996

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Solution

The third proportional to 37,750 and 79,996 is: 169,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,750 : 79,996 = 79,996 : x
  2. Step 2: Convert to fraction form
    37,750/79,996 = 79,996/x
  3. Step 3: Cross multiply
    37,750x = 79,996 × 79,996
  4. Step 4: Simplify right side
    37,750x = 6,399,360,016
  5. Step 5: Solve for x
    x = 6,399,360,016/37,750
  6. Step 6: Final answer
    x = 169,519.47

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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.