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Finding the Third Proportional to 17,282 and 25,671

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Solution

The third proportional to 17,282 and 25,671 is: 38,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282 : 25,671 = 25,671 : x
  2. Step 2: Convert to fraction form
    17,282/25,671 = 25,671/x
  3. Step 3: Cross multiply
    17,282x = 25,671 × 25,671
  4. Step 4: Simplify right side
    17,282x = 659,000,241
  5. Step 5: Solve for x
    x = 659,000,241/17,282
  6. Step 6: Final answer
    x = 38,132.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.