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Finding the Third Proportional to 9,712.41 and 20,115.84

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Solution

The third proportional to 9,712.41 and 20,115.84 is: 41,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.41 : 20,115.84 = 20,115.84 : x
  2. Step 2: Convert to fraction form
    9,712.41/20,115.84 = 20,115.84/x
  3. Step 3: Cross multiply
    9,712.41x = 20,115.84 × 20,115.84
  4. Step 4: Simplify right side
    9,712.41x = 404,647,169.77
  5. Step 5: Solve for x
    x = 404,647,169.77/9,712.41
  6. Step 6: Final answer
    x = 41,662.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.