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Finding the Third Proportional to 32,867 and 51,491

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Solution

The third proportional to 32,867 and 51,491 is: 80,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,867 : 51,491 = 51,491 : x
  2. Step 2: Convert to fraction form
    32,867/51,491 = 51,491/x
  3. Step 3: Cross multiply
    32,867x = 51,491 × 51,491
  4. Step 4: Simplify right side
    32,867x = 2,651,323,081
  5. Step 5: Solve for x
    x = 2,651,323,081/32,867
  6. Step 6: Final answer
    x = 80,668.24

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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.