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Finding the Third Proportional to 16,675 and 36,447

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Solution

The third proportional to 16,675 and 36,447 is: 79,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675 : 36,447 = 36,447 : x
  2. Step 2: Convert to fraction form
    16,675/36,447 = 36,447/x
  3. Step 3: Cross multiply
    16,675x = 36,447 × 36,447
  4. Step 4: Simplify right side
    16,675x = 1,328,383,809
  5. Step 5: Solve for x
    x = 1,328,383,809/16,675
  6. Step 6: Final answer
    x = 79,663.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.