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Finding the Third Proportional to 6,981 and 15,195

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Solution

The third proportional to 6,981 and 15,195 is: 33,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981 : 15,195 = 15,195 : x
  2. Step 2: Convert to fraction form
    6,981/15,195 = 15,195/x
  3. Step 3: Cross multiply
    6,981x = 15,195 × 15,195
  4. Step 4: Simplify right side
    6,981x = 230,888,025
  5. Step 5: Solve for x
    x = 230,888,025/6,981
  6. Step 6: Final answer
    x = 33,073.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.