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Finding the Third Proportional to 6,917 and 15,131

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Solution

The third proportional to 6,917 and 15,131 is: 33,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917 : 15,131 = 15,131 : x
  2. Step 2: Convert to fraction form
    6,917/15,131 = 15,131/x
  3. Step 3: Cross multiply
    6,917x = 15,131 × 15,131
  4. Step 4: Simplify right side
    6,917x = 228,947,161
  5. Step 5: Solve for x
    x = 228,947,161/6,917
  6. Step 6: Final answer
    x = 33,099.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.