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Finding the Third Proportional to 29,704 and 60,503

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Solution

The third proportional to 29,704 and 60,503 is: 123,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,704 : 60,503 = 60,503 : x
  2. Step 2: Convert to fraction form
    29,704/60,503 = 60,503/x
  3. Step 3: Cross multiply
    29,704x = 60,503 × 60,503
  4. Step 4: Simplify right side
    29,704x = 3,660,613,009
  5. Step 5: Solve for x
    x = 3,660,613,009/29,704
  6. Step 6: Final answer
    x = 123,236.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.