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Finding the Third Proportional to 17,214 and 25,865

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Solution

The third proportional to 17,214 and 25,865 is: 38,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214 : 25,865 = 25,865 : x
  2. Step 2: Convert to fraction form
    17,214/25,865 = 25,865/x
  3. Step 3: Cross multiply
    17,214x = 25,865 × 25,865
  4. Step 4: Simplify right side
    17,214x = 668,998,225
  5. Step 5: Solve for x
    x = 668,998,225/17,214
  6. Step 6: Final answer
    x = 38,863.61

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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.