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Finding the Third Proportional to 4,541 and 10,081

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Solution

The third proportional to 4,541 and 10,081 is: 22,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541 : 10,081 = 10,081 : x
  2. Step 2: Convert to fraction form
    4,541/10,081 = 10,081/x
  3. Step 3: Cross multiply
    4,541x = 10,081 × 10,081
  4. Step 4: Simplify right side
    4,541x = 101,626,561
  5. Step 5: Solve for x
    x = 101,626,561/4,541
  6. Step 6: Final answer
    x = 22,379.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.