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Finding the Third Proportional to 5,744 and 6,356

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Solution

The third proportional to 5,744 and 6,356 is: 7,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744 : 6,356 = 6,356 : x
  2. Step 2: Convert to fraction form
    5,744/6,356 = 6,356/x
  3. Step 3: Cross multiply
    5,744x = 6,356 × 6,356
  4. Step 4: Simplify right side
    5,744x = 40,398,736
  5. Step 5: Solve for x
    x = 40,398,736/5,744
  6. Step 6: Final answer
    x = 7,033.21

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.