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Finding the Third Proportional to 5,438 and 5,924

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Solution

The third proportional to 5,438 and 5,924 is: 6,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438 : 5,924 = 5,924 : x
  2. Step 2: Convert to fraction form
    5,438/5,924 = 5,924/x
  3. Step 3: Cross multiply
    5,438x = 5,924 × 5,924
  4. Step 4: Simplify right side
    5,438x = 35,093,776
  5. Step 5: Solve for x
    x = 35,093,776/5,438
  6. Step 6: Final answer
    x = 6,453.43

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.