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Finding the Third Proportional to 6,995 and 10,949

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Solution

The third proportional to 6,995 and 10,949 is: 17,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995 : 10,949 = 10,949 : x
  2. Step 2: Convert to fraction form
    6,995/10,949 = 10,949/x
  3. Step 3: Cross multiply
    6,995x = 10,949 × 10,949
  4. Step 4: Simplify right side
    6,995x = 119,880,601
  5. Step 5: Solve for x
    x = 119,880,601/6,995
  6. Step 6: Final answer
    x = 17,138.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.