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Finding the Third Proportional to 2,363 and 3,144

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Solution

The third proportional to 2,363 and 3,144 is: 4,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363 : 3,144 = 3,144 : x
  2. Step 2: Convert to fraction form
    2,363/3,144 = 3,144/x
  3. Step 3: Cross multiply
    2,363x = 3,144 × 3,144
  4. Step 4: Simplify right side
    2,363x = 9,884,736
  5. Step 5: Solve for x
    x = 9,884,736/2,363
  6. Step 6: Final answer
    x = 4,183.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.