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Finding the Third Proportional to 32,465.25 and 48,912.75

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Solution

The third proportional to 32,465.25 and 48,912.75 is: 73,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.25 : 48,912.75 = 48,912.75 : x
  2. Step 2: Convert to fraction form
    32,465.25/48,912.75 = 48,912.75/x
  3. Step 3: Cross multiply
    32,465.25x = 48,912.75 × 48,912.75
  4. Step 4: Simplify right side
    32,465.25x = 2,392,457,112.56
  5. Step 5: Solve for x
    x = 2,392,457,112.56/32,465.25
  6. Step 6: Final answer
    x = 73,692.86

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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.