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Finding the Third Proportional to 16,971.75 and 36,801

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Solution

The third proportional to 16,971.75 and 36,801 is: 79,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.75 : 36,801 = 36,801 : x
  2. Step 2: Convert to fraction form
    16,971.75/36,801 = 36,801/x
  3. Step 3: Cross multiply
    16,971.75x = 36,801 × 36,801
  4. Step 4: Simplify right side
    16,971.75x = 1,354,313,601
  5. Step 5: Solve for x
    x = 1,354,313,601/16,971.75
  6. Step 6: Final answer
    x = 79,798.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.