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Finding the Third Proportional to 2,781.75 and 6,468.38

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Solution

The third proportional to 2,781.75 and 6,468.38 is: 15,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.75 : 6,468.38 = 6,468.38 : x
  2. Step 2: Convert to fraction form
    2,781.75/6,468.38 = 6,468.38/x
  3. Step 3: Cross multiply
    2,781.75x = 6,468.38 × 6,468.38
  4. Step 4: Simplify right side
    2,781.75x = 41,839,875.14
  5. Step 5: Solve for x
    x = 41,839,875.14/2,781.75
  6. Step 6: Final answer
    x = 15,040.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.