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Finding the Third Proportional to 2,649 and 4,047.75

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Solution

The third proportional to 2,649 and 4,047.75 is: 6,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649 : 4,047.75 = 4,047.75 : x
  2. Step 2: Convert to fraction form
    2,649/4,047.75 = 4,047.75/x
  3. Step 3: Cross multiply
    2,649x = 4,047.75 × 4,047.75
  4. Step 4: Simplify right side
    2,649x = 16,384,280.06
  5. Step 5: Solve for x
    x = 16,384,280.06/2,649
  6. Step 6: Final answer
    x = 6,185.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.