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Finding the Third Proportional to 3,194 and 6,982

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Solution

The third proportional to 3,194 and 6,982 is: 15,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194 : 6,982 = 6,982 : x
  2. Step 2: Convert to fraction form
    3,194/6,982 = 6,982/x
  3. Step 3: Cross multiply
    3,194x = 6,982 × 6,982
  4. Step 4: Simplify right side
    3,194x = 48,748,324
  5. Step 5: Solve for x
    x = 48,748,324/3,194
  6. Step 6: Final answer
    x = 15,262.47

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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.