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Finding the Third Proportional to 3,784 and 4,344

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Solution

The third proportional to 3,784 and 4,344 is: 4,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 4,344 = 4,344 : x
  2. Step 2: Convert to fraction form
    3,784/4,344 = 4,344/x
  3. Step 3: Cross multiply
    3,784x = 4,344 × 4,344
  4. Step 4: Simplify right side
    3,784x = 18,870,336
  5. Step 5: Solve for x
    x = 18,870,336/3,784
  6. Step 6: Final answer
    x = 4,986.88

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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.