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Finding the Third Proportional to 32,617.42 and 50,504.38

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Solution

The third proportional to 32,617.42 and 50,504.38 is: 78,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.42 : 50,504.38 = 50,504.38 : x
  2. Step 2: Convert to fraction form
    32,617.42/50,504.38 = 50,504.38/x
  3. Step 3: Cross multiply
    32,617.42x = 50,504.38 × 50,504.38
  4. Step 4: Simplify right side
    32,617.42x = 2,550,691,894.14
  5. Step 5: Solve for x
    x = 2,550,691,894.14/32,617.42
  6. Step 6: Final answer
    x = 78,200.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.