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Finding the Third Proportional to 16,857 and 24,281

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Solution

The third proportional to 16,857 and 24,281 is: 34,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857 : 24,281 = 24,281 : x
  2. Step 2: Convert to fraction form
    16,857/24,281 = 24,281/x
  3. Step 3: Cross multiply
    16,857x = 24,281 × 24,281
  4. Step 4: Simplify right side
    16,857x = 589,566,961
  5. Step 5: Solve for x
    x = 589,566,961/16,857
  6. Step 6: Final answer
    x = 34,974.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.