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Finding the Third Proportional to 19,616 and 27,944

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Solution

The third proportional to 19,616 and 27,944 is: 39,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616 : 27,944 = 27,944 : x
  2. Step 2: Convert to fraction form
    19,616/27,944 = 27,944/x
  3. Step 3: Cross multiply
    19,616x = 27,944 × 27,944
  4. Step 4: Simplify right side
    19,616x = 780,867,136
  5. Step 5: Solve for x
    x = 780,867,136/19,616
  6. Step 6: Final answer
    x = 39,807.66

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.