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Finding the Third Proportional to 37,328 and 80,674

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Solution

The third proportional to 37,328 and 80,674 is: 174,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328 : 80,674 = 80,674 : x
  2. Step 2: Convert to fraction form
    37,328/80,674 = 80,674/x
  3. Step 3: Cross multiply
    37,328x = 80,674 × 80,674
  4. Step 4: Simplify right side
    37,328x = 6,508,294,276
  5. Step 5: Solve for x
    x = 6,508,294,276/37,328
  6. Step 6: Final answer
    x = 174,354.22

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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.