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Finding the Third Proportional to 29,742 and 61,962

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Solution

The third proportional to 29,742 and 61,962 is: 129,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742 : 61,962 = 61,962 : x
  2. Step 2: Convert to fraction form
    29,742/61,962 = 61,962/x
  3. Step 3: Cross multiply
    29,742x = 61,962 × 61,962
  4. Step 4: Simplify right side
    29,742x = 3,839,289,444
  5. Step 5: Solve for x
    x = 3,839,289,444/29,742
  6. Step 6: Final answer
    x = 129,086.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.