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Finding the Third Proportional to 15,796 and 32,872

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Solution

The third proportional to 15,796 and 32,872 is: 68,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,796 : 32,872 = 32,872 : x
  2. Step 2: Convert to fraction form
    15,796/32,872 = 32,872/x
  3. Step 3: Cross multiply
    15,796x = 32,872 × 32,872
  4. Step 4: Simplify right side
    15,796x = 1,080,568,384
  5. Step 5: Solve for x
    x = 1,080,568,384/15,796
  6. Step 6: Final answer
    x = 68,407.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.