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Finding the Third Proportional to 27,816 and 60,906

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Solution

The third proportional to 27,816 and 60,906 is: 133,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816 : 60,906 = 60,906 : x
  2. Step 2: Convert to fraction form
    27,816/60,906 = 60,906/x
  3. Step 3: Cross multiply
    27,816x = 60,906 × 60,906
  4. Step 4: Simplify right side
    27,816x = 3,709,540,836
  5. Step 5: Solve for x
    x = 3,709,540,836/27,816
  6. Step 6: Final answer
    x = 133,359.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.