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Finding the Third Proportional to 37,348 and 80,456

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Solution

The third proportional to 37,348 and 80,456 is: 173,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,348 : 80,456 = 80,456 : x
  2. Step 2: Convert to fraction form
    37,348/80,456 = 80,456/x
  3. Step 3: Cross multiply
    37,348x = 80,456 × 80,456
  4. Step 4: Simplify right side
    37,348x = 6,473,167,936
  5. Step 5: Solve for x
    x = 6,473,167,936/37,348
  6. Step 6: Final answer
    x = 173,320.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.