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Finding the Third Proportional to 39,541.50 and 46,512.75

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Solution

The third proportional to 39,541.50 and 46,512.75 is: 54,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,541.50 : 46,512.75 = 46,512.75 : x
  2. Step 2: Convert to fraction form
    39,541.50/46,512.75 = 46,512.75/x
  3. Step 3: Cross multiply
    39,541.50x = 46,512.75 × 46,512.75
  4. Step 4: Simplify right side
    39,541.50x = 2,163,435,912.56
  5. Step 5: Solve for x
    x = 2,163,435,912.56/39,541.50
  6. Step 6: Final answer
    x = 54,713.05

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.