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Finding the Third Proportional to 43,269 and 65,715.50

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Solution

The third proportional to 43,269 and 65,715.50 is: 99,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,269 : 65,715.50 = 65,715.50 : x
  2. Step 2: Convert to fraction form
    43,269/65,715.50 = 65,715.50/x
  3. Step 3: Cross multiply
    43,269x = 65,715.50 × 65,715.50
  4. Step 4: Simplify right side
    43,269x = 4,318,526,940.25
  5. Step 5: Solve for x
    x = 4,318,526,940.25/43,269
  6. Step 6: Final answer
    x = 99,806.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.