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Finding the Third Proportional to 16,006 and 24,497

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Solution

The third proportional to 16,006 and 24,497 is: 37,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006 : 24,497 = 24,497 : x
  2. Step 2: Convert to fraction form
    16,006/24,497 = 24,497/x
  3. Step 3: Cross multiply
    16,006x = 24,497 × 24,497
  4. Step 4: Simplify right side
    16,006x = 600,103,009
  5. Step 5: Solve for x
    x = 600,103,009/16,006
  6. Step 6: Final answer
    x = 37,492.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.