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Finding the Third Proportional to 36,472.50 and 54,969.75

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Solution

The third proportional to 36,472.50 and 54,969.75 is: 82,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,472.50 : 54,969.75 = 54,969.75 : x
  2. Step 2: Convert to fraction form
    36,472.50/54,969.75 = 54,969.75/x
  3. Step 3: Cross multiply
    36,472.50x = 54,969.75 × 54,969.75
  4. Step 4: Simplify right side
    36,472.50x = 3,021,673,415.06
  5. Step 5: Solve for x
    x = 3,021,673,415.06/36,472.50
  6. Step 6: Final answer
    x = 82,847.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.