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Finding the Third Proportional to 41,350 and 65,716.50

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Solution

The third proportional to 41,350 and 65,716.50 is: 104,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,350 : 65,716.50 = 65,716.50 : x
  2. Step 2: Convert to fraction form
    41,350/65,716.50 = 65,716.50/x
  3. Step 3: Cross multiply
    41,350x = 65,716.50 × 65,716.50
  4. Step 4: Simplify right side
    41,350x = 4,318,658,372.25
  5. Step 5: Solve for x
    x = 4,318,658,372.25/41,350
  6. Step 6: Final answer
    x = 104,441.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.