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Finding the Third Proportional to 16,502 and 39,885

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Solution

The third proportional to 16,502 and 39,885 is: 96,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502 : 39,885 = 39,885 : x
  2. Step 2: Convert to fraction form
    16,502/39,885 = 39,885/x
  3. Step 3: Cross multiply
    16,502x = 39,885 × 39,885
  4. Step 4: Simplify right side
    16,502x = 1,590,813,225
  5. Step 5: Solve for x
    x = 1,590,813,225/16,502
  6. Step 6: Final answer
    x = 96,401.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.