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Finding the Third Proportional to 9,338.13 and 20,231.88

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Solution

The third proportional to 9,338.13 and 20,231.88 is: 43,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.13 : 20,231.88 = 20,231.88 : x
  2. Step 2: Convert to fraction form
    9,338.13/20,231.88 = 20,231.88/x
  3. Step 3: Cross multiply
    9,338.13x = 20,231.88 × 20,231.88
  4. Step 4: Simplify right side
    9,338.13x = 409,328,766.02
  5. Step 5: Solve for x
    x = 409,328,766.02/9,338.13
  6. Step 6: Final answer
    x = 43,834.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.