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Finding the Third Proportional to 16,822 and 25,443

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Solution

The third proportional to 16,822 and 25,443 is: 38,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822 : 25,443 = 25,443 : x
  2. Step 2: Convert to fraction form
    16,822/25,443 = 25,443/x
  3. Step 3: Cross multiply
    16,822x = 25,443 × 25,443
  4. Step 4: Simplify right side
    16,822x = 647,346,249
  5. Step 5: Solve for x
    x = 647,346,249/16,822
  6. Step 6: Final answer
    x = 38,482.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.