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Finding the Third Proportional to 19,968 and 27,764

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Solution

The third proportional to 19,968 and 27,764 is: 38,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968 : 27,764 = 27,764 : x
  2. Step 2: Convert to fraction form
    19,968/27,764 = 27,764/x
  3. Step 3: Cross multiply
    19,968x = 27,764 × 27,764
  4. Step 4: Simplify right side
    19,968x = 770,839,696
  5. Step 5: Solve for x
    x = 770,839,696/19,968
  6. Step 6: Final answer
    x = 38,603.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.