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Finding the Third Proportional to 9,021.38 and 12,711.94

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Solution

The third proportional to 9,021.38 and 12,711.94 is: 17,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.38 : 12,711.94 = 12,711.94 : x
  2. Step 2: Convert to fraction form
    9,021.38/12,711.94 = 12,711.94/x
  3. Step 3: Cross multiply
    9,021.38x = 12,711.94 × 12,711.94
  4. Step 4: Simplify right side
    9,021.38x = 161,593,355.00
  5. Step 5: Solve for x
    x = 161,593,355.00/9,021.38
  6. Step 6: Final answer
    x = 17,912.28

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