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Finding the Third Proportional to 16,974.75 and 36,537.25

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Solution

The third proportional to 16,974.75 and 36,537.25 is: 78,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.75 : 36,537.25 = 36,537.25 : x
  2. Step 2: Convert to fraction form
    16,974.75/36,537.25 = 36,537.25/x
  3. Step 3: Cross multiply
    16,974.75x = 36,537.25 × 36,537.25
  4. Step 4: Simplify right side
    16,974.75x = 1,334,970,637.56
  5. Step 5: Solve for x
    x = 1,334,970,637.56/16,974.75
  6. Step 6: Final answer
    x = 78,644.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.