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Finding the Third Proportional to 9,404.21 and 13,772.33

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Solution

The third proportional to 9,404.21 and 13,772.33 is: 20,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.21 : 13,772.33 = 13,772.33 : x
  2. Step 2: Convert to fraction form
    9,404.21/13,772.33 = 13,772.33/x
  3. Step 3: Cross multiply
    9,404.21x = 13,772.33 × 13,772.33
  4. Step 4: Simplify right side
    9,404.21x = 189,677,169.93
  5. Step 5: Solve for x
    x = 189,677,169.93/9,404.21
  6. Step 6: Final answer
    x = 20,169.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.