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Finding the Third Proportional to 13,225 and 20,494.50

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Solution

The third proportional to 13,225 and 20,494.50 is: 31,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225 : 20,494.50 = 20,494.50 : x
  2. Step 2: Convert to fraction form
    13,225/20,494.50 = 20,494.50/x
  3. Step 3: Cross multiply
    13,225x = 20,494.50 × 20,494.50
  4. Step 4: Simplify right side
    13,225x = 420,024,530.25
  5. Step 5: Solve for x
    x = 420,024,530.25/13,225
  6. Step 6: Final answer
    x = 31,759.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.