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Finding the Third Proportional to 2,401.31 and 5,166.28

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Solution

The third proportional to 2,401.31 and 5,166.28 is: 11,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.31 : 5,166.28 = 5,166.28 : x
  2. Step 2: Convert to fraction form
    2,401.31/5,166.28 = 5,166.28/x
  3. Step 3: Cross multiply
    2,401.31x = 5,166.28 × 5,166.28
  4. Step 4: Simplify right side
    2,401.31x = 26,690,461.95
  5. Step 5: Solve for x
    x = 26,690,461.95/2,401.31
  6. Step 6: Final answer
    x = 11,114.95

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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.