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Finding the Third Proportional to 3,872 and 8,072

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Solution

The third proportional to 3,872 and 8,072 is: 16,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872 : 8,072 = 8,072 : x
  2. Step 2: Convert to fraction form
    3,872/8,072 = 8,072/x
  3. Step 3: Cross multiply
    3,872x = 8,072 × 8,072
  4. Step 4: Simplify right side
    3,872x = 65,157,184
  5. Step 5: Solve for x
    x = 65,157,184/3,872
  6. Step 6: Final answer
    x = 16,827.79

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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.