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Finding the Third Proportional to 4,240.13 and 11,401.88

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Solution

The third proportional to 4,240.13 and 11,401.88 is: 30,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.13 : 11,401.88 = 11,401.88 : x
  2. Step 2: Convert to fraction form
    4,240.13/11,401.88 = 11,401.88/x
  3. Step 3: Cross multiply
    4,240.13x = 11,401.88 × 11,401.88
  4. Step 4: Simplify right side
    4,240.13x = 130,002,753.52
  5. Step 5: Solve for x
    x = 130,002,753.52/4,240.13
  6. Step 6: Final answer
    x = 30,660.12

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.