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Finding the Third Proportional to 19,933.50 and 27,083.25

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Solution

The third proportional to 19,933.50 and 27,083.25 is: 36,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,933.50 : 27,083.25 = 27,083.25 : x
  2. Step 2: Convert to fraction form
    19,933.50/27,083.25 = 27,083.25/x
  3. Step 3: Cross multiply
    19,933.50x = 27,083.25 × 27,083.25
  4. Step 4: Simplify right side
    19,933.50x = 733,502,430.56
  5. Step 5: Solve for x
    x = 733,502,430.56/19,933.50
  6. Step 6: Final answer
    x = 36,797.47

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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.