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Finding the Third Proportional to 5,634 and 7,704

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Solution

The third proportional to 5,634 and 7,704 is: 10,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634 : 7,704 = 7,704 : x
  2. Step 2: Convert to fraction form
    5,634/7,704 = 7,704/x
  3. Step 3: Cross multiply
    5,634x = 7,704 × 7,704
  4. Step 4: Simplify right side
    5,634x = 59,351,616
  5. Step 5: Solve for x
    x = 59,351,616/5,634
  6. Step 6: Final answer
    x = 10,534.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.