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Finding the Third Proportional to 43,823 and 65,659

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Solution

The third proportional to 43,823 and 65,659 is: 98,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,823 : 65,659 = 65,659 : x
  2. Step 2: Convert to fraction form
    43,823/65,659 = 65,659/x
  3. Step 3: Cross multiply
    43,823x = 65,659 × 65,659
  4. Step 4: Simplify right side
    43,823x = 4,311,104,281
  5. Step 5: Solve for x
    x = 4,311,104,281/43,823
  6. Step 6: Final answer
    x = 98,375.38

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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.