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Finding the Third Proportional to 26,589 and 29,343

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Solution

The third proportional to 26,589 and 29,343 is: 32,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,589 : 29,343 = 29,343 : x
  2. Step 2: Convert to fraction form
    26,589/29,343 = 29,343/x
  3. Step 3: Cross multiply
    26,589x = 29,343 × 29,343
  4. Step 4: Simplify right side
    26,589x = 861,011,649
  5. Step 5: Solve for x
    x = 861,011,649/26,589
  6. Step 6: Final answer
    x = 32,382.25

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.