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Finding the Third Proportional to 16,531 and 25,183

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Solution

The third proportional to 16,531 and 25,183 is: 38,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531 : 25,183 = 25,183 : x
  2. Step 2: Convert to fraction form
    16,531/25,183 = 25,183/x
  3. Step 3: Cross multiply
    16,531x = 25,183 × 25,183
  4. Step 4: Simplify right side
    16,531x = 634,183,489
  5. Step 5: Solve for x
    x = 634,183,489/16,531
  6. Step 6: Final answer
    x = 38,363.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.