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Finding the Third Proportional to 40,380.75 and 82,776.38

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Solution

The third proportional to 40,380.75 and 82,776.38 is: 169,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,380.75 : 82,776.38 = 82,776.38 : x
  2. Step 2: Convert to fraction form
    40,380.75/82,776.38 = 82,776.38/x
  3. Step 3: Cross multiply
    40,380.75x = 82,776.38 × 82,776.38
  4. Step 4: Simplify right side
    40,380.75x = 6,851,928,258.14
  5. Step 5: Solve for x
    x = 6,851,928,258.14/40,380.75
  6. Step 6: Final answer
    x = 169,683.04

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.