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Finding the Third Proportional to 6,452 and 7,924

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Solution

The third proportional to 6,452 and 7,924 is: 9,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452 : 7,924 = 7,924 : x
  2. Step 2: Convert to fraction form
    6,452/7,924 = 7,924/x
  3. Step 3: Cross multiply
    6,452x = 7,924 × 7,924
  4. Step 4: Simplify right side
    6,452x = 62,789,776
  5. Step 5: Solve for x
    x = 62,789,776/6,452
  6. Step 6: Final answer
    x = 9,731.83

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.