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Finding the Third Proportional to 29,849 and 62,782

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Solution

The third proportional to 29,849 and 62,782 is: 132,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,849 : 62,782 = 62,782 : x
  2. Step 2: Convert to fraction form
    29,849/62,782 = 62,782/x
  3. Step 3: Cross multiply
    29,849x = 62,782 × 62,782
  4. Step 4: Simplify right side
    29,849x = 3,941,579,524
  5. Step 5: Solve for x
    x = 3,941,579,524/29,849
  6. Step 6: Final answer
    x = 132,050.64

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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.