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Finding the Third Proportional to 7,872 and 17,832

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Solution

The third proportional to 7,872 and 17,832 is: 40,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 17,832 = 17,832 : x
  2. Step 2: Convert to fraction form
    7,872/17,832 = 17,832/x
  3. Step 3: Cross multiply
    7,872x = 17,832 × 17,832
  4. Step 4: Simplify right side
    7,872x = 317,980,224
  5. Step 5: Solve for x
    x = 317,980,224/7,872
  6. Step 6: Final answer
    x = 40,393.83

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.