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Finding the Third Proportional to 4,002 and 6,141

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Solution

The third proportional to 4,002 and 6,141 is: 9,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002 : 6,141 = 6,141 : x
  2. Step 2: Convert to fraction form
    4,002/6,141 = 6,141/x
  3. Step 3: Cross multiply
    4,002x = 6,141 × 6,141
  4. Step 4: Simplify right side
    4,002x = 37,711,881
  5. Step 5: Solve for x
    x = 37,711,881/4,002
  6. Step 6: Final answer
    x = 9,423.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.