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Finding the Third Proportional to 5,806 and 13,450

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Solution

The third proportional to 5,806 and 13,450 is: 31,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806 : 13,450 = 13,450 : x
  2. Step 2: Convert to fraction form
    5,806/13,450 = 13,450/x
  3. Step 3: Cross multiply
    5,806x = 13,450 × 13,450
  4. Step 4: Simplify right side
    5,806x = 180,902,500
  5. Step 5: Solve for x
    x = 180,902,500/5,806
  6. Step 6: Final answer
    x = 31,157.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.