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Finding the Third Proportional to 37,764 and 80,415

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Solution

The third proportional to 37,764 and 80,415 is: 171,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,764 : 80,415 = 80,415 : x
  2. Step 2: Convert to fraction form
    37,764/80,415 = 80,415/x
  3. Step 3: Cross multiply
    37,764x = 80,415 × 80,415
  4. Step 4: Simplify right side
    37,764x = 6,466,572,225
  5. Step 5: Solve for x
    x = 6,466,572,225/37,764
  6. Step 6: Final answer
    x = 171,236.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.