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Finding the Third Proportional to 32,861 and 51,481

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Solution

The third proportional to 32,861 and 51,481 is: 80,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,861 : 51,481 = 51,481 : x
  2. Step 2: Convert to fraction form
    32,861/51,481 = 51,481/x
  3. Step 3: Cross multiply
    32,861x = 51,481 × 51,481
  4. Step 4: Simplify right side
    32,861x = 2,650,293,361
  5. Step 5: Solve for x
    x = 2,650,293,361/32,861
  6. Step 6: Final answer
    x = 80,651.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.