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Finding the Third Proportional to 37,311 and 80,529

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Solution

The third proportional to 37,311 and 80,529 is: 173,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,311 : 80,529 = 80,529 : x
  2. Step 2: Convert to fraction form
    37,311/80,529 = 80,529/x
  3. Step 3: Cross multiply
    37,311x = 80,529 × 80,529
  4. Step 4: Simplify right side
    37,311x = 6,484,919,841
  5. Step 5: Solve for x
    x = 6,484,919,841/37,311
  6. Step 6: Final answer
    x = 173,807.18

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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.