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Finding the Third Proportional to 11,238.75 and 19,923.75

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Solution

The third proportional to 11,238.75 and 19,923.75 is: 35,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.75 : 19,923.75 = 19,923.75 : x
  2. Step 2: Convert to fraction form
    11,238.75/19,923.75 = 19,923.75/x
  3. Step 3: Cross multiply
    11,238.75x = 19,923.75 × 19,923.75
  4. Step 4: Simplify right side
    11,238.75x = 396,955,814.06
  5. Step 5: Solve for x
    x = 396,955,814.06/11,238.75
  6. Step 6: Final answer
    x = 35,320.28

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.