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Finding the Third Proportional to 5,474 and 7,967

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Solution

The third proportional to 5,474 and 7,967 is: 11,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474 : 7,967 = 7,967 : x
  2. Step 2: Convert to fraction form
    5,474/7,967 = 7,967/x
  3. Step 3: Cross multiply
    5,474x = 7,967 × 7,967
  4. Step 4: Simplify right side
    5,474x = 63,473,089
  5. Step 5: Solve for x
    x = 63,473,089/5,474
  6. Step 6: Final answer
    x = 11,595.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.