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Finding the Third Proportional to 2,895 and 5,995

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Solution

The third proportional to 2,895 and 5,995 is: 12,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895 : 5,995 = 5,995 : x
  2. Step 2: Convert to fraction form
    2,895/5,995 = 5,995/x
  3. Step 3: Cross multiply
    2,895x = 5,995 × 5,995
  4. Step 4: Simplify right side
    2,895x = 35,940,025
  5. Step 5: Solve for x
    x = 35,940,025/2,895
  6. Step 6: Final answer
    x = 12,414.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.