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Finding the Third Proportional to 17,649 and 36,735.75

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Solution

The third proportional to 17,649 and 36,735.75 is: 76,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649 : 36,735.75 = 36,735.75 : x
  2. Step 2: Convert to fraction form
    17,649/36,735.75 = 36,735.75/x
  3. Step 3: Cross multiply
    17,649x = 36,735.75 × 36,735.75
  4. Step 4: Simplify right side
    17,649x = 1,349,515,328.06
  5. Step 5: Solve for x
    x = 1,349,515,328.06/17,649
  6. Step 6: Final answer
    x = 76,464.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.