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Finding the Third Proportional to 16,282 and 35,474

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Solution

The third proportional to 16,282 and 35,474 is: 77,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282 : 35,474 = 35,474 : x
  2. Step 2: Convert to fraction form
    16,282/35,474 = 35,474/x
  3. Step 3: Cross multiply
    16,282x = 35,474 × 35,474
  4. Step 4: Simplify right side
    16,282x = 1,258,404,676
  5. Step 5: Solve for x
    x = 1,258,404,676/16,282
  6. Step 6: Final answer
    x = 77,288.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.