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Finding the Third Proportional to 2,165 and 3,247

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Solution

The third proportional to 2,165 and 3,247 is: 4,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165 : 3,247 = 3,247 : x
  2. Step 2: Convert to fraction form
    2,165/3,247 = 3,247/x
  3. Step 3: Cross multiply
    2,165x = 3,247 × 3,247
  4. Step 4: Simplify right side
    2,165x = 10,543,009
  5. Step 5: Solve for x
    x = 10,543,009/2,165
  6. Step 6: Final answer
    x = 4,869.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.