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Finding the Third Proportional to 4,140 and 6,016

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Solution

The third proportional to 4,140 and 6,016 is: 8,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 6,016 = 6,016 : x
  2. Step 2: Convert to fraction form
    4,140/6,016 = 6,016/x
  3. Step 3: Cross multiply
    4,140x = 6,016 × 6,016
  4. Step 4: Simplify right side
    4,140x = 36,192,256
  5. Step 5: Solve for x
    x = 36,192,256/4,140
  6. Step 6: Final answer
    x = 8,742.09

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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.