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Finding the Third Proportional to 16,238 and 24,477

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Solution

The third proportional to 16,238 and 24,477 is: 36,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238 : 24,477 = 24,477 : x
  2. Step 2: Convert to fraction form
    16,238/24,477 = 24,477/x
  3. Step 3: Cross multiply
    16,238x = 24,477 × 24,477
  4. Step 4: Simplify right side
    16,238x = 599,123,529
  5. Step 5: Solve for x
    x = 599,123,529/16,238
  6. Step 6: Final answer
    x = 36,896.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.