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Finding the Third Proportional to 2,518.88 and 5,401.88

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Solution

The third proportional to 2,518.88 and 5,401.88 is: 11,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.88 : 5,401.88 = 5,401.88 : x
  2. Step 2: Convert to fraction form
    2,518.88/5,401.88 = 5,401.88/x
  3. Step 3: Cross multiply
    2,518.88x = 5,401.88 × 5,401.88
  4. Step 4: Simplify right side
    2,518.88x = 29,180,253.52
  5. Step 5: Solve for x
    x = 29,180,253.52/2,518.88
  6. Step 6: Final answer
    x = 11,584.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.