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Finding the Third Proportional to 16,872 and 35,800

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Solution

The third proportional to 16,872 and 35,800 is: 75,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872 : 35,800 = 35,800 : x
  2. Step 2: Convert to fraction form
    16,872/35,800 = 35,800/x
  3. Step 3: Cross multiply
    16,872x = 35,800 × 35,800
  4. Step 4: Simplify right side
    16,872x = 1,281,640,000
  5. Step 5: Solve for x
    x = 1,281,640,000/16,872
  6. Step 6: Final answer
    x = 75,962.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.