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Finding the Third Proportional to 37,452 and 80,898

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Solution

The third proportional to 37,452 and 80,898 is: 174,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,452 : 80,898 = 80,898 : x
  2. Step 2: Convert to fraction form
    37,452/80,898 = 80,898/x
  3. Step 3: Cross multiply
    37,452x = 80,898 × 80,898
  4. Step 4: Simplify right side
    37,452x = 6,544,486,404
  5. Step 5: Solve for x
    x = 6,544,486,404/37,452
  6. Step 6: Final answer
    x = 174,743.31

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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.