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Finding the Third Proportional to 17,262 and 25,884

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Solution

The third proportional to 17,262 and 25,884 is: 38,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,262 : 25,884 = 25,884 : x
  2. Step 2: Convert to fraction form
    17,262/25,884 = 25,884/x
  3. Step 3: Cross multiply
    17,262x = 25,884 × 25,884
  4. Step 4: Simplify right side
    17,262x = 669,981,456
  5. Step 5: Solve for x
    x = 669,981,456/17,262
  6. Step 6: Final answer
    x = 38,812.50

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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.