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Finding the Third Proportional to 21,941 and 29,995

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Solution

The third proportional to 21,941 and 29,995 is: 41,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,941 : 29,995 = 29,995 : x
  2. Step 2: Convert to fraction form
    21,941/29,995 = 29,995/x
  3. Step 3: Cross multiply
    21,941x = 29,995 × 29,995
  4. Step 4: Simplify right side
    21,941x = 899,700,025
  5. Step 5: Solve for x
    x = 899,700,025/21,941
  6. Step 6: Final answer
    x = 41,005.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.