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Finding the Third Proportional to 9,863.44 and 13,873.69

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Solution

The third proportional to 9,863.44 and 13,873.69 is: 19,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.44 : 13,873.69 = 13,873.69 : x
  2. Step 2: Convert to fraction form
    9,863.44/13,873.69 = 13,873.69/x
  3. Step 3: Cross multiply
    9,863.44x = 13,873.69 × 13,873.69
  4. Step 4: Simplify right side
    9,863.44x = 192,479,204.85
  5. Step 5: Solve for x
    x = 192,479,204.85/9,863.44
  6. Step 6: Final answer
    x = 19,514.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.