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Finding the Third Proportional to 4,014 and 9,041

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Solution

The third proportional to 4,014 and 9,041 is: 20,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014 : 9,041 = 9,041 : x
  2. Step 2: Convert to fraction form
    4,014/9,041 = 9,041/x
  3. Step 3: Cross multiply
    4,014x = 9,041 × 9,041
  4. Step 4: Simplify right side
    4,014x = 81,739,681
  5. Step 5: Solve for x
    x = 81,739,681/4,014
  6. Step 6: Final answer
    x = 20,363.65

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.