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Finding the Third Proportional to 20,166.38 and 41,627.63

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Solution

The third proportional to 20,166.38 and 41,627.63 is: 85,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.38 : 41,627.63 = 41,627.63 : x
  2. Step 2: Convert to fraction form
    20,166.38/41,627.63 = 41,627.63/x
  3. Step 3: Cross multiply
    20,166.38x = 41,627.63 × 41,627.63
  4. Step 4: Simplify right side
    20,166.38x = 1,732,859,163.14
  5. Step 5: Solve for x
    x = 1,732,859,163.14/20,166.38
  6. Step 6: Final answer
    x = 85,928.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.