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Finding the Third Proportional to 7,744 and 15,704

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Solution

The third proportional to 7,744 and 15,704 is: 31,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744 : 15,704 = 15,704 : x
  2. Step 2: Convert to fraction form
    7,744/15,704 = 15,704/x
  3. Step 3: Cross multiply
    7,744x = 15,704 × 15,704
  4. Step 4: Simplify right side
    7,744x = 246,615,616
  5. Step 5: Solve for x
    x = 246,615,616/7,744
  6. Step 6: Final answer
    x = 31,846.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.