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Finding the Third Proportional to 7,633 and 12,161

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Solution

The third proportional to 7,633 and 12,161 is: 19,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633 : 12,161 = 12,161 : x
  2. Step 2: Convert to fraction form
    7,633/12,161 = 12,161/x
  3. Step 3: Cross multiply
    7,633x = 12,161 × 12,161
  4. Step 4: Simplify right side
    7,633x = 147,889,921
  5. Step 5: Solve for x
    x = 147,889,921/7,633
  6. Step 6: Final answer
    x = 19,375.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.