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Finding the Third Proportional to 8,264 and 17,350

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Solution

The third proportional to 8,264 and 17,350 is: 36,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264 : 17,350 = 17,350 : x
  2. Step 2: Convert to fraction form
    8,264/17,350 = 17,350/x
  3. Step 3: Cross multiply
    8,264x = 17,350 × 17,350
  4. Step 4: Simplify right side
    8,264x = 301,022,500
  5. Step 5: Solve for x
    x = 301,022,500/8,264
  6. Step 6: Final answer
    x = 36,425.76

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.