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Finding the Third Proportional to 15,517.50 and 20,522.25

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Solution

The third proportional to 15,517.50 and 20,522.25 is: 27,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,517.50 : 20,522.25 = 20,522.25 : x
  2. Step 2: Convert to fraction form
    15,517.50/20,522.25 = 20,522.25/x
  3. Step 3: Cross multiply
    15,517.50x = 20,522.25 × 20,522.25
  4. Step 4: Simplify right side
    15,517.50x = 421,162,745.06
  5. Step 5: Solve for x
    x = 421,162,745.06/15,517.50
  6. Step 6: Final answer
    x = 27,141.15

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.