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Finding the Third Proportional to 17,383 and 24,836

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Solution

The third proportional to 17,383 and 24,836 is: 35,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383 : 24,836 = 24,836 : x
  2. Step 2: Convert to fraction form
    17,383/24,836 = 24,836/x
  3. Step 3: Cross multiply
    17,383x = 24,836 × 24,836
  4. Step 4: Simplify right side
    17,383x = 616,826,896
  5. Step 5: Solve for x
    x = 616,826,896/17,383
  6. Step 6: Final answer
    x = 35,484.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.