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Finding the Third Proportional to 32,198.50 and 42,441.75

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Solution

The third proportional to 32,198.50 and 42,441.75 is: 55,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.50 : 42,441.75 = 42,441.75 : x
  2. Step 2: Convert to fraction form
    32,198.50/42,441.75 = 42,441.75/x
  3. Step 3: Cross multiply
    32,198.50x = 42,441.75 × 42,441.75
  4. Step 4: Simplify right side
    32,198.50x = 1,801,302,143.06
  5. Step 5: Solve for x
    x = 1,801,302,143.06/32,198.50
  6. Step 6: Final answer
    x = 55,943.67

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.