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Finding the Third Proportional to 3,744 and 10,089

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Solution

The third proportional to 3,744 and 10,089 is: 27,186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744 : 10,089 = 10,089 : x
  2. Step 2: Convert to fraction form
    3,744/10,089 = 10,089/x
  3. Step 3: Cross multiply
    3,744x = 10,089 × 10,089
  4. Step 4: Simplify right side
    3,744x = 101,787,921
  5. Step 5: Solve for x
    x = 101,787,921/3,744
  6. Step 6: Final answer
    x = 27,186.94

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.