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Finding the Third Proportional to 16,922 and 24,374

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Solution

The third proportional to 16,922 and 24,374 is: 35,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,922 : 24,374 = 24,374 : x
  2. Step 2: Convert to fraction form
    16,922/24,374 = 24,374/x
  3. Step 3: Cross multiply
    16,922x = 24,374 × 24,374
  4. Step 4: Simplify right side
    16,922x = 594,091,876
  5. Step 5: Solve for x
    x = 594,091,876/16,922
  6. Step 6: Final answer
    x = 35,107.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.