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Finding the Third Proportional to 43,692 and 65,582

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Solution

The third proportional to 43,692 and 65,582 is: 98,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,692 : 65,582 = 65,582 : x
  2. Step 2: Convert to fraction form
    43,692/65,582 = 65,582/x
  3. Step 3: Cross multiply
    43,692x = 65,582 × 65,582
  4. Step 4: Simplify right side
    43,692x = 4,300,998,724
  5. Step 5: Solve for x
    x = 4,300,998,724/43,692
  6. Step 6: Final answer
    x = 98,439.04

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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.