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Finding the Third Proportional to 32,884 and 51,517

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Solution

The third proportional to 32,884 and 51,517 is: 80,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884 : 51,517 = 51,517 : x
  2. Step 2: Convert to fraction form
    32,884/51,517 = 51,517/x
  3. Step 3: Cross multiply
    32,884x = 51,517 × 51,517
  4. Step 4: Simplify right side
    32,884x = 2,654,001,289
  5. Step 5: Solve for x
    x = 2,654,001,289/32,884
  6. Step 6: Final answer
    x = 80,707.98

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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.