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Finding the Third Proportional to 29,847 and 62,562

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Solution

The third proportional to 29,847 and 62,562 is: 131,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847 : 62,562 = 62,562 : x
  2. Step 2: Convert to fraction form
    29,847/62,562 = 62,562/x
  3. Step 3: Cross multiply
    29,847x = 62,562 × 62,562
  4. Step 4: Simplify right side
    29,847x = 3,914,003,844
  5. Step 5: Solve for x
    x = 3,914,003,844/29,847
  6. Step 6: Final answer
    x = 131,135.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.