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Finding the Third Proportional to 31,758 and 69,995

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Solution

The third proportional to 31,758 and 69,995 is: 154,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758 : 69,995 = 69,995 : x
  2. Step 2: Convert to fraction form
    31,758/69,995 = 69,995/x
  3. Step 3: Cross multiply
    31,758x = 69,995 × 69,995
  4. Step 4: Simplify right side
    31,758x = 4,899,300,025
  5. Step 5: Solve for x
    x = 4,899,300,025/31,758
  6. Step 6: Final answer
    x = 154,269.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.