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Finding the Third Proportional to 29,832 and 46,218

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Solution

The third proportional to 29,832 and 46,218 is: 71,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832 : 46,218 = 46,218 : x
  2. Step 2: Convert to fraction form
    29,832/46,218 = 46,218/x
  3. Step 3: Cross multiply
    29,832x = 46,218 × 46,218
  4. Step 4: Simplify right side
    29,832x = 2,136,103,524
  5. Step 5: Solve for x
    x = 2,136,103,524/29,832
  6. Step 6: Final answer
    x = 71,604.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.