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Finding the Third Proportional to 5,229 and 13,396.50

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Solution

The third proportional to 5,229 and 13,396.50 is: 34,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229 : 13,396.50 = 13,396.50 : x
  2. Step 2: Convert to fraction form
    5,229/13,396.50 = 13,396.50/x
  3. Step 3: Cross multiply
    5,229x = 13,396.50 × 13,396.50
  4. Step 4: Simplify right side
    5,229x = 179,466,212.25
  5. Step 5: Solve for x
    x = 179,466,212.25/5,229
  6. Step 6: Final answer
    x = 34,321.33

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.