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Finding the Third Proportional to 16,877 and 25,221

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Solution

The third proportional to 16,877 and 25,221 is: 37,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,877 : 25,221 = 25,221 : x
  2. Step 2: Convert to fraction form
    16,877/25,221 = 25,221/x
  3. Step 3: Cross multiply
    16,877x = 25,221 × 25,221
  4. Step 4: Simplify right side
    16,877x = 636,098,841
  5. Step 5: Solve for x
    x = 636,098,841/16,877
  6. Step 6: Final answer
    x = 37,690.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.