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Finding the Third Proportional to 16,282 and 34,868

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Solution

The third proportional to 16,282 and 34,868 is: 74,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282 : 34,868 = 34,868 : x
  2. Step 2: Convert to fraction form
    16,282/34,868 = 34,868/x
  3. Step 3: Cross multiply
    16,282x = 34,868 × 34,868
  4. Step 4: Simplify right side
    16,282x = 1,215,777,424
  5. Step 5: Solve for x
    x = 1,215,777,424/16,282
  6. Step 6: Final answer
    x = 74,670.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.