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Finding the Third Proportional to 4,011 and 5,241

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Solution

The third proportional to 4,011 and 5,241 is: 6,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011 : 5,241 = 5,241 : x
  2. Step 2: Convert to fraction form
    4,011/5,241 = 5,241/x
  3. Step 3: Cross multiply
    4,011x = 5,241 × 5,241
  4. Step 4: Simplify right side
    4,011x = 27,468,081
  5. Step 5: Solve for x
    x = 27,468,081/4,011
  6. Step 6: Final answer
    x = 6,848.19

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.