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Finding the Third Proportional to 50,471.50 and 73,516.38

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Solution

The third proportional to 50,471.50 and 73,516.38 is: 107,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,471.50 : 73,516.38 = 73,516.38 : x
  2. Step 2: Convert to fraction form
    50,471.50/73,516.38 = 73,516.38/x
  3. Step 3: Cross multiply
    50,471.50x = 73,516.38 × 73,516.38
  4. Step 4: Simplify right side
    50,471.50x = 5,404,657,393.14
  5. Step 5: Solve for x
    x = 5,404,657,393.14/50,471.50
  6. Step 6: Final answer
    x = 107,083.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.