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Finding the Third Proportional to 19,383.75 and 27,294.75

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Solution

The third proportional to 19,383.75 and 27,294.75 is: 38,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,383.75 : 27,294.75 = 27,294.75 : x
  2. Step 2: Convert to fraction form
    19,383.75/27,294.75 = 27,294.75/x
  3. Step 3: Cross multiply
    19,383.75x = 27,294.75 × 27,294.75
  4. Step 4: Simplify right side
    19,383.75x = 745,003,377.56
  5. Step 5: Solve for x
    x = 745,003,377.56/19,383.75
  6. Step 6: Final answer
    x = 38,434.43

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Why These Related Problems?

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