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Finding the Third Proportional to 22,040.75 and 52,021.38

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Solution

The third proportional to 22,040.75 and 52,021.38 is: 122,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,040.75 : 52,021.38 = 52,021.38 : x
  2. Step 2: Convert to fraction form
    22,040.75/52,021.38 = 52,021.38/x
  3. Step 3: Cross multiply
    22,040.75x = 52,021.38 × 52,021.38
  4. Step 4: Simplify right side
    22,040.75x = 2,706,223,456.89
  5. Step 5: Solve for x
    x = 2,706,223,456.89/22,040.75
  6. Step 6: Final answer
    x = 122,782.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.