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Finding the Third Proportional to 38,821.50 and 91,707.75

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Solution

The third proportional to 38,821.50 and 91,707.75 is: 216,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,821.50 : 91,707.75 = 91,707.75 : x
  2. Step 2: Convert to fraction form
    38,821.50/91,707.75 = 91,707.75/x
  3. Step 3: Cross multiply
    38,821.50x = 91,707.75 × 91,707.75
  4. Step 4: Simplify right side
    38,821.50x = 8,410,311,410.06
  5. Step 5: Solve for x
    x = 8,410,311,410.06/38,821.50
  6. Step 6: Final answer
    x = 216,640.56

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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.