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Finding the Third Proportional to 19,707.75 and 27,717.75

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Solution

The third proportional to 19,707.75 and 27,717.75 is: 38,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.75 : 27,717.75 = 27,717.75 : x
  2. Step 2: Convert to fraction form
    19,707.75/27,717.75 = 27,717.75/x
  3. Step 3: Cross multiply
    19,707.75x = 27,717.75 × 27,717.75
  4. Step 4: Simplify right side
    19,707.75x = 768,273,665.06
  5. Step 5: Solve for x
    x = 768,273,665.06/19,707.75
  6. Step 6: Final answer
    x = 38,983.33

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.