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Finding the Third Proportional to 4,401.75 and 5,995.13

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Solution

The third proportional to 4,401.75 and 5,995.13 is: 8,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,401.75 : 5,995.13 = 5,995.13 : x
  2. Step 2: Convert to fraction form
    4,401.75/5,995.13 = 5,995.13/x
  3. Step 3: Cross multiply
    4,401.75x = 5,995.13 × 5,995.13
  4. Step 4: Simplify right side
    4,401.75x = 35,941,523.77
  5. Step 5: Solve for x
    x = 35,941,523.77/4,401.75
  6. Step 6: Final answer
    x = 8,165.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.