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Finding the Third Proportional to 19,938 and 27,089

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Solution

The third proportional to 19,938 and 27,089 is: 36,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,938 : 27,089 = 27,089 : x
  2. Step 2: Convert to fraction form
    19,938/27,089 = 27,089/x
  3. Step 3: Cross multiply
    19,938x = 27,089 × 27,089
  4. Step 4: Simplify right side
    19,938x = 733,813,921
  5. Step 5: Solve for x
    x = 733,813,921/19,938
  6. Step 6: Final answer
    x = 36,804.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.