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Finding the Third Proportional to 37,325 and 80,662

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Solution

The third proportional to 37,325 and 80,662 is: 174,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,325 : 80,662 = 80,662 : x
  2. Step 2: Convert to fraction form
    37,325/80,662 = 80,662/x
  3. Step 3: Cross multiply
    37,325x = 80,662 × 80,662
  4. Step 4: Simplify right side
    37,325x = 6,506,358,244
  5. Step 5: Solve for x
    x = 6,506,358,244/37,325
  6. Step 6: Final answer
    x = 174,316.36

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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.