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Finding the Third Proportional to 37,607 and 80,398

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Solution

The third proportional to 37,607 and 80,398 is: 171,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,607 : 80,398 = 80,398 : x
  2. Step 2: Convert to fraction form
    37,607/80,398 = 80,398/x
  3. Step 3: Cross multiply
    37,607x = 80,398 × 80,398
  4. Step 4: Simplify right side
    37,607x = 6,463,838,404
  5. Step 5: Solve for x
    x = 6,463,838,404/37,607
  6. Step 6: Final answer
    x = 171,878.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.