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Finding the Third Proportional to 4,105 and 6,156

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Solution

The third proportional to 4,105 and 6,156 is: 9,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105 : 6,156 = 6,156 : x
  2. Step 2: Convert to fraction form
    4,105/6,156 = 6,156/x
  3. Step 3: Cross multiply
    4,105x = 6,156 × 6,156
  4. Step 4: Simplify right side
    4,105x = 37,896,336
  5. Step 5: Solve for x
    x = 37,896,336/4,105
  6. Step 6: Final answer
    x = 9,231.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.