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Finding the Third Proportional to 3,823 and 5,909

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Solution

The third proportional to 3,823 and 5,909 is: 9,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823 : 5,909 = 5,909 : x
  2. Step 2: Convert to fraction form
    3,823/5,909 = 5,909/x
  3. Step 3: Cross multiply
    3,823x = 5,909 × 5,909
  4. Step 4: Simplify right side
    3,823x = 34,916,281
  5. Step 5: Solve for x
    x = 34,916,281/3,823
  6. Step 6: Final answer
    x = 9,133.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.