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Finding the Third Proportional to 9,469.41 and 14,020.59

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Solution

The third proportional to 9,469.41 and 14,020.59 is: 20,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.41 : 14,020.59 = 14,020.59 : x
  2. Step 2: Convert to fraction form
    9,469.41/14,020.59 = 14,020.59/x
  3. Step 3: Cross multiply
    9,469.41x = 14,020.59 × 14,020.59
  4. Step 4: Simplify right side
    9,469.41x = 196,577,049.10
  5. Step 5: Solve for x
    x = 196,577,049.10/9,469.41
  6. Step 6: Final answer
    x = 20,759.17

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.