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Finding the Third Proportional to 3,932 and 6,156

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Solution

The third proportional to 3,932 and 6,156 is: 9,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932 : 6,156 = 6,156 : x
  2. Step 2: Convert to fraction form
    3,932/6,156 = 6,156/x
  3. Step 3: Cross multiply
    3,932x = 6,156 × 6,156
  4. Step 4: Simplify right side
    3,932x = 37,896,336
  5. Step 5: Solve for x
    x = 37,896,336/3,932
  6. Step 6: Final answer
    x = 9,637.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.