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Finding the Third Proportional to 3,744 and 4,306

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Solution

The third proportional to 3,744 and 4,306 is: 4,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744 : 4,306 = 4,306 : x
  2. Step 2: Convert to fraction form
    3,744/4,306 = 4,306/x
  3. Step 3: Cross multiply
    3,744x = 4,306 × 4,306
  4. Step 4: Simplify right side
    3,744x = 18,541,636
  5. Step 5: Solve for x
    x = 18,541,636/3,744
  6. Step 6: Final answer
    x = 4,952.36

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.