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Finding the Third Proportional to 43,692 and 65,467

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Solution

The third proportional to 43,692 and 65,467 is: 98,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,692 : 65,467 = 65,467 : x
  2. Step 2: Convert to fraction form
    43,692/65,467 = 65,467/x
  3. Step 3: Cross multiply
    43,692x = 65,467 × 65,467
  4. Step 4: Simplify right side
    43,692x = 4,285,928,089
  5. Step 5: Solve for x
    x = 4,285,928,089/43,692
  6. Step 6: Final answer
    x = 98,094.12

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Why These Related Problems?

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