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Finding the Third Proportional to 32,193.75 and 48,949.50

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Solution

The third proportional to 32,193.75 and 48,949.50 is: 74,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.75 : 48,949.50 = 48,949.50 : x
  2. Step 2: Convert to fraction form
    32,193.75/48,949.50 = 48,949.50/x
  3. Step 3: Cross multiply
    32,193.75x = 48,949.50 × 48,949.50
  4. Step 4: Simplify right side
    32,193.75x = 2,396,053,550.25
  5. Step 5: Solve for x
    x = 2,396,053,550.25/32,193.75
  6. Step 6: Final answer
    x = 74,426.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.