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Finding the Third Proportional to 29,774 and 39,517

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Solution

The third proportional to 29,774 and 39,517 is: 52,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,774 : 39,517 = 39,517 : x
  2. Step 2: Convert to fraction form
    29,774/39,517 = 39,517/x
  3. Step 3: Cross multiply
    29,774x = 39,517 × 39,517
  4. Step 4: Simplify right side
    29,774x = 1,561,593,289
  5. Step 5: Solve for x
    x = 1,561,593,289/29,774
  6. Step 6: Final answer
    x = 52,448.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.