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Finding the Third Proportional to 3,724 and 5,924

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Solution

The third proportional to 3,724 and 5,924 is: 9,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724 : 5,924 = 5,924 : x
  2. Step 2: Convert to fraction form
    3,724/5,924 = 5,924/x
  3. Step 3: Cross multiply
    3,724x = 5,924 × 5,924
  4. Step 4: Simplify right side
    3,724x = 35,093,776
  5. Step 5: Solve for x
    x = 35,093,776/3,724
  6. Step 6: Final answer
    x = 9,423.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.