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Finding the Third Proportional to 37,270 and 80,348

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Solution

The third proportional to 37,270 and 80,348 is: 173,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,270 : 80,348 = 80,348 : x
  2. Step 2: Convert to fraction form
    37,270/80,348 = 80,348/x
  3. Step 3: Cross multiply
    37,270x = 80,348 × 80,348
  4. Step 4: Simplify right side
    37,270x = 6,455,801,104
  5. Step 5: Solve for x
    x = 6,455,801,104/37,270
  6. Step 6: Final answer
    x = 173,217.09

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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.