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Finding the Third Proportional to 5,734 and 13,855

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Solution

The third proportional to 5,734 and 13,855 is: 33,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734 : 13,855 = 13,855 : x
  2. Step 2: Convert to fraction form
    5,734/13,855 = 13,855/x
  3. Step 3: Cross multiply
    5,734x = 13,855 × 13,855
  4. Step 4: Simplify right side
    5,734x = 191,961,025
  5. Step 5: Solve for x
    x = 191,961,025/5,734
  6. Step 6: Final answer
    x = 33,477.68

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.