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Finding the Third Proportional to 5,736 and 7,032

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Solution

The third proportional to 5,736 and 7,032 is: 8,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736 : 7,032 = 7,032 : x
  2. Step 2: Convert to fraction form
    5,736/7,032 = 7,032/x
  3. Step 3: Cross multiply
    5,736x = 7,032 × 7,032
  4. Step 4: Simplify right side
    5,736x = 49,449,024
  5. Step 5: Solve for x
    x = 49,449,024/5,736
  6. Step 6: Final answer
    x = 8,620.82

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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.