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Finding the Third Proportional to 2,672.25 and 5,847.38

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Solution

The third proportional to 2,672.25 and 5,847.38 is: 12,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.25 : 5,847.38 = 5,847.38 : x
  2. Step 2: Convert to fraction form
    2,672.25/5,847.38 = 5,847.38/x
  3. Step 3: Cross multiply
    2,672.25x = 5,847.38 × 5,847.38
  4. Step 4: Simplify right side
    2,672.25x = 34,191,794.39
  5. Step 5: Solve for x
    x = 34,191,794.39/2,672.25
  6. Step 6: Final answer
    x = 12,795.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.