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Finding the Third Proportional to 20,391.75 and 42,342.75

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Solution

The third proportional to 20,391.75 and 42,342.75 is: 87,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,391.75 : 42,342.75 = 42,342.75 : x
  2. Step 2: Convert to fraction form
    20,391.75/42,342.75 = 42,342.75/x
  3. Step 3: Cross multiply
    20,391.75x = 42,342.75 × 42,342.75
  4. Step 4: Simplify right side
    20,391.75x = 1,792,908,477.56
  5. Step 5: Solve for x
    x = 1,792,908,477.56/20,391.75
  6. Step 6: Final answer
    x = 87,923.23

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.