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Finding the Third Proportional to 9,450.42 and 11,943.07

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Solution

The third proportional to 9,450.42 and 11,943.07 is: 15,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450.42 : 11,943.07 = 11,943.07 : x
  2. Step 2: Convert to fraction form
    9,450.42/11,943.07 = 11,943.07/x
  3. Step 3: Cross multiply
    9,450.42x = 11,943.07 × 11,943.07
  4. Step 4: Simplify right side
    9,450.42x = 142,636,928.49
  5. Step 5: Solve for x
    x = 142,636,928.49/9,450.42
  6. Step 6: Final answer
    x = 15,093.18

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.