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Finding the Third Proportional to 8,992 and 17,282

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Solution

The third proportional to 8,992 and 17,282 is: 33,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992 : 17,282 = 17,282 : x
  2. Step 2: Convert to fraction form
    8,992/17,282 = 17,282/x
  3. Step 3: Cross multiply
    8,992x = 17,282 × 17,282
  4. Step 4: Simplify right side
    8,992x = 298,667,524
  5. Step 5: Solve for x
    x = 298,667,524/8,992
  6. Step 6: Final answer
    x = 33,214.80

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.