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Finding the Third Proportional to 50,677.50 and 71,283.94

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Solution

The third proportional to 50,677.50 and 71,283.94 is: 100,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,677.50 : 71,283.94 = 71,283.94 : x
  2. Step 2: Convert to fraction form
    50,677.50/71,283.94 = 71,283.94/x
  3. Step 3: Cross multiply
    50,677.50x = 71,283.94 × 71,283.94
  4. Step 4: Simplify right side
    50,677.50x = 5,081,399,745.50
  5. Step 5: Solve for x
    x = 5,081,399,745.50/50,677.50
  6. Step 6: Final answer
    x = 100,269.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.