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Finding the Third Proportional to 2,995 and 6,995

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Solution

The third proportional to 2,995 and 6,995 is: 16,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995 : 6,995 = 6,995 : x
  2. Step 2: Convert to fraction form
    2,995/6,995 = 6,995/x
  3. Step 3: Cross multiply
    2,995x = 6,995 × 6,995
  4. Step 4: Simplify right side
    2,995x = 48,930,025
  5. Step 5: Solve for x
    x = 48,930,025/2,995
  6. Step 6: Final answer
    x = 16,337.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.