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Finding the Third Proportional to 5,742 and 13,860

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Solution

The third proportional to 5,742 and 13,860 is: 33,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 13,860 = 13,860 : x
  2. Step 2: Convert to fraction form
    5,742/13,860 = 13,860/x
  3. Step 3: Cross multiply
    5,742x = 13,860 × 13,860
  4. Step 4: Simplify right side
    5,742x = 192,099,600
  5. Step 5: Solve for x
    x = 192,099,600/5,742
  6. Step 6: Final answer
    x = 33,455.17

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.