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Finding the Third Proportional to 5,474 and 7,871

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Solution

The third proportional to 5,474 and 7,871 is: 11,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474 : 7,871 = 7,871 : x
  2. Step 2: Convert to fraction form
    5,474/7,871 = 7,871/x
  3. Step 3: Cross multiply
    5,474x = 7,871 × 7,871
  4. Step 4: Simplify right side
    5,474x = 61,952,641
  5. Step 5: Solve for x
    x = 61,952,641/5,474
  6. Step 6: Final answer
    x = 11,317.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.