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Finding the Third Proportional to 37,211 and 80,713

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Solution

The third proportional to 37,211 and 80,713 is: 175,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,211 : 80,713 = 80,713 : x
  2. Step 2: Convert to fraction form
    37,211/80,713 = 80,713/x
  3. Step 3: Cross multiply
    37,211x = 80,713 × 80,713
  4. Step 4: Simplify right side
    37,211x = 6,514,588,369
  5. Step 5: Solve for x
    x = 6,514,588,369/37,211
  6. Step 6: Final answer
    x = 175,071.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.