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Finding the Third Proportional to 6,982 and 15,197

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Solution

The third proportional to 6,982 and 15,197 is: 33,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982 : 15,197 = 15,197 : x
  2. Step 2: Convert to fraction form
    6,982/15,197 = 15,197/x
  3. Step 3: Cross multiply
    6,982x = 15,197 × 15,197
  4. Step 4: Simplify right side
    6,982x = 230,948,809
  5. Step 5: Solve for x
    x = 230,948,809/6,982
  6. Step 6: Final answer
    x = 33,077.74

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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.