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Finding the Third Proportional to 2,995 and 7,081

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Solution

The third proportional to 2,995 and 7,081 is: 16,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995 : 7,081 = 7,081 : x
  2. Step 2: Convert to fraction form
    2,995/7,081 = 7,081/x
  3. Step 3: Cross multiply
    2,995x = 7,081 × 7,081
  4. Step 4: Simplify right side
    2,995x = 50,140,561
  5. Step 5: Solve for x
    x = 50,140,561/2,995
  6. Step 6: Final answer
    x = 16,741.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.