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Finding the Third Proportional to 43,812 and 65,538

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Solution

The third proportional to 43,812 and 65,538 is: 98,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,812 : 65,538 = 65,538 : x
  2. Step 2: Convert to fraction form
    43,812/65,538 = 65,538/x
  3. Step 3: Cross multiply
    43,812x = 65,538 × 65,538
  4. Step 4: Simplify right side
    43,812x = 4,295,229,444
  5. Step 5: Solve for x
    x = 4,295,229,444/43,812
  6. Step 6: Final answer
    x = 98,037.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.