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Finding the Third Proportional to 3,932 and 5,684

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Solution

The third proportional to 3,932 and 5,684 is: 8,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932 : 5,684 = 5,684 : x
  2. Step 2: Convert to fraction form
    3,932/5,684 = 5,684/x
  3. Step 3: Cross multiply
    3,932x = 5,684 × 5,684
  4. Step 4: Simplify right side
    3,932x = 32,307,856
  5. Step 5: Solve for x
    x = 32,307,856/3,932
  6. Step 6: Final answer
    x = 8,216.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.