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Finding the Third Proportional to 2,756.53 and 4,081.64

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Solution

The third proportional to 2,756.53 and 4,081.64 is: 6,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.53 : 4,081.64 = 4,081.64 : x
  2. Step 2: Convert to fraction form
    2,756.53/4,081.64 = 4,081.64/x
  3. Step 3: Cross multiply
    2,756.53x = 4,081.64 × 4,081.64
  4. Step 4: Simplify right side
    2,756.53x = 16,659,790.19
  5. Step 5: Solve for x
    x = 16,659,790.19/2,756.53
  6. Step 6: Final answer
    x = 6,043.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.