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Finding the Third Proportional to 3,784 and 5,644

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Solution

The third proportional to 3,784 and 5,644 is: 8,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 5,644 = 5,644 : x
  2. Step 2: Convert to fraction form
    3,784/5,644 = 5,644/x
  3. Step 3: Cross multiply
    3,784x = 5,644 × 5,644
  4. Step 4: Simplify right side
    3,784x = 31,854,736
  5. Step 5: Solve for x
    x = 31,854,736/3,784
  6. Step 6: Final answer
    x = 8,418.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.