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Finding the Third Proportional to 3,214 and 4,759

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Solution

The third proportional to 3,214 and 4,759 is: 7,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214 : 4,759 = 4,759 : x
  2. Step 2: Convert to fraction form
    3,214/4,759 = 4,759/x
  3. Step 3: Cross multiply
    3,214x = 4,759 × 4,759
  4. Step 4: Simplify right side
    3,214x = 22,648,081
  5. Step 5: Solve for x
    x = 22,648,081/3,214
  6. Step 6: Final answer
    x = 7,046.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.