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Finding the Third Proportional to 35,737.75 and 50,204.38

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Solution

The third proportional to 35,737.75 and 50,204.38 is: 70,527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.75 : 50,204.38 = 50,204.38 : x
  2. Step 2: Convert to fraction form
    35,737.75/50,204.38 = 50,204.38/x
  3. Step 3: Cross multiply
    35,737.75x = 50,204.38 × 50,204.38
  4. Step 4: Simplify right side
    35,737.75x = 2,520,479,269.14
  5. Step 5: Solve for x
    x = 2,520,479,269.14/35,737.75
  6. Step 6: Final answer
    x = 70,527.08

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.