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Finding the Third Proportional to 36,380.81 and 54,346.78

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Solution

The third proportional to 36,380.81 and 54,346.78 is: 81,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,380.81 : 54,346.78 = 54,346.78 : x
  2. Step 2: Convert to fraction form
    36,380.81/54,346.78 = 54,346.78/x
  3. Step 3: Cross multiply
    36,380.81x = 54,346.78 × 54,346.78
  4. Step 4: Simplify right side
    36,380.81x = 2,953,572,632.24
  5. Step 5: Solve for x
    x = 2,953,572,632.24/36,380.81
  6. Step 6: Final answer
    x = 81,184.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.