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Finding the Third Proportional to 2,401.88 and 5,167.27

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Solution

The third proportional to 2,401.88 and 5,167.27 is: 11,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.88 : 5,167.27 = 5,167.27 : x
  2. Step 2: Convert to fraction form
    2,401.88/5,167.27 = 5,167.27/x
  3. Step 3: Cross multiply
    2,401.88x = 5,167.27 × 5,167.27
  4. Step 4: Simplify right side
    2,401.88x = 26,700,634.04
  5. Step 5: Solve for x
    x = 26,700,634.04/2,401.88
  6. Step 6: Final answer
    x = 11,116.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.