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Finding the Third Proportional to 23,822 and 32,694

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Solution

The third proportional to 23,822 and 32,694 is: 44,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822 : 32,694 = 32,694 : x
  2. Step 2: Convert to fraction form
    23,822/32,694 = 32,694/x
  3. Step 3: Cross multiply
    23,822x = 32,694 × 32,694
  4. Step 4: Simplify right side
    23,822x = 1,068,897,636
  5. Step 5: Solve for x
    x = 1,068,897,636/23,822
  6. Step 6: Final answer
    x = 44,870.19

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