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Finding the Third Proportional to 8,211.75 and 18,063.56

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Solution

The third proportional to 8,211.75 and 18,063.56 is: 39,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.75 : 18,063.56 = 18,063.56 : x
  2. Step 2: Convert to fraction form
    8,211.75/18,063.56 = 18,063.56/x
  3. Step 3: Cross multiply
    8,211.75x = 18,063.56 × 18,063.56
  4. Step 4: Simplify right side
    8,211.75x = 326,292,290.19
  5. Step 5: Solve for x
    x = 326,292,290.19/8,211.75
  6. Step 6: Final answer
    x = 39,734.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.