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Finding the Third Proportional to 5,814 and 13,722

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Solution

The third proportional to 5,814 and 13,722 is: 32,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814 : 13,722 = 13,722 : x
  2. Step 2: Convert to fraction form
    5,814/13,722 = 13,722/x
  3. Step 3: Cross multiply
    5,814x = 13,722 × 13,722
  4. Step 4: Simplify right side
    5,814x = 188,293,284
  5. Step 5: Solve for x
    x = 188,293,284/5,814
  6. Step 6: Final answer
    x = 32,386.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.