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Finding the Third Proportional to 3,972 and 6,214

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Solution

The third proportional to 3,972 and 6,214 is: 9,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972 : 6,214 = 6,214 : x
  2. Step 2: Convert to fraction form
    3,972/6,214 = 6,214/x
  3. Step 3: Cross multiply
    3,972x = 6,214 × 6,214
  4. Step 4: Simplify right side
    3,972x = 38,613,796
  5. Step 5: Solve for x
    x = 38,613,796/3,972
  6. Step 6: Final answer
    x = 9,721.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.