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Finding the Third Proportional to 2,080.20 and 4,524.89

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Solution

The third proportional to 2,080.20 and 4,524.89 is: 9,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.20 : 4,524.89 = 4,524.89 : x
  2. Step 2: Convert to fraction form
    2,080.20/4,524.89 = 4,524.89/x
  3. Step 3: Cross multiply
    2,080.20x = 4,524.89 × 4,524.89
  4. Step 4: Simplify right side
    2,080.20x = 20,474,635.17
  5. Step 5: Solve for x
    x = 20,474,635.17/2,080.20
  6. Step 6: Final answer
    x = 9,842.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.