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Finding the Third Proportional to 33,986 and 52,517

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Solution

The third proportional to 33,986 and 52,517 is: 81,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,986 : 52,517 = 52,517 : x
  2. Step 2: Convert to fraction form
    33,986/52,517 = 52,517/x
  3. Step 3: Cross multiply
    33,986x = 52,517 × 52,517
  4. Step 4: Simplify right side
    33,986x = 2,758,035,289
  5. Step 5: Solve for x
    x = 2,758,035,289/33,986
  6. Step 6: Final answer
    x = 81,152.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.