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Finding the Third Proportional to 2,939 and 3,215

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Solution

The third proportional to 2,939 and 3,215 is: 3,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939 : 3,215 = 3,215 : x
  2. Step 2: Convert to fraction form
    2,939/3,215 = 3,215/x
  3. Step 3: Cross multiply
    2,939x = 3,215 × 3,215
  4. Step 4: Simplify right side
    2,939x = 10,336,225
  5. Step 5: Solve for x
    x = 10,336,225/2,939
  6. Step 6: Final answer
    x = 3,516.92

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.