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Finding the Third Proportional to 16,383 and 38,505

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Solution

The third proportional to 16,383 and 38,505 is: 90,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383 : 38,505 = 38,505 : x
  2. Step 2: Convert to fraction form
    16,383/38,505 = 38,505/x
  3. Step 3: Cross multiply
    16,383x = 38,505 × 38,505
  4. Step 4: Simplify right side
    16,383x = 1,482,635,025
  5. Step 5: Solve for x
    x = 1,482,635,025/16,383
  6. Step 6: Final answer
    x = 90,498.38

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.