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Finding the Third Proportional to 4,902 and 11,517

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Solution

The third proportional to 4,902 and 11,517 is: 27,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902 : 11,517 = 11,517 : x
  2. Step 2: Convert to fraction form
    4,902/11,517 = 11,517/x
  3. Step 3: Cross multiply
    4,902x = 11,517 × 11,517
  4. Step 4: Simplify right side
    4,902x = 132,641,289
  5. Step 5: Solve for x
    x = 132,641,289/4,902
  6. Step 6: Final answer
    x = 27,058.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.