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Finding the Third Proportional to 37,468 and 80,442

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Solution

The third proportional to 37,468 and 80,442 is: 172,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468 : 80,442 = 80,442 : x
  2. Step 2: Convert to fraction form
    37,468/80,442 = 80,442/x
  3. Step 3: Cross multiply
    37,468x = 80,442 × 80,442
  4. Step 4: Simplify right side
    37,468x = 6,470,915,364
  5. Step 5: Solve for x
    x = 6,470,915,364/37,468
  6. Step 6: Final answer
    x = 172,705.12

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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.