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Finding the Third Proportional to 19,806.75 and 27,239.63

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Solution

The third proportional to 19,806.75 and 27,239.63 is: 37,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.75 : 27,239.63 = 27,239.63 : x
  2. Step 2: Convert to fraction form
    19,806.75/27,239.63 = 27,239.63/x
  3. Step 3: Cross multiply
    19,806.75x = 27,239.63 × 27,239.63
  4. Step 4: Simplify right side
    19,806.75x = 741,997,170.14
  5. Step 5: Solve for x
    x = 741,997,170.14/19,806.75
  6. Step 6: Final answer
    x = 37,461.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.