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Finding the Third Proportional to 20,979 and 29,367

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Solution

The third proportional to 20,979 and 29,367 is: 41,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,979 : 29,367 = 29,367 : x
  2. Step 2: Convert to fraction form
    20,979/29,367 = 29,367/x
  3. Step 3: Cross multiply
    20,979x = 29,367 × 29,367
  4. Step 4: Simplify right side
    20,979x = 862,420,689
  5. Step 5: Solve for x
    x = 862,420,689/20,979
  6. Step 6: Final answer
    x = 41,108.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.