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Finding the Third Proportional to 2,560.99 and 4,074.05

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Solution

The third proportional to 2,560.99 and 4,074.05 is: 6,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.99 : 4,074.05 = 4,074.05 : x
  2. Step 2: Convert to fraction form
    2,560.99/4,074.05 = 4,074.05/x
  3. Step 3: Cross multiply
    2,560.99x = 4,074.05 × 4,074.05
  4. Step 4: Simplify right side
    2,560.99x = 16,597,857.94
  5. Step 5: Solve for x
    x = 16,597,857.94/2,560.99
  6. Step 6: Final answer
    x = 6,481.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.