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Finding the Third Proportional to 33,648.75 and 36,792.56

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Solution

The third proportional to 33,648.75 and 36,792.56 is: 40,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648.75 : 36,792.56 = 36,792.56 : x
  2. Step 2: Convert to fraction form
    33,648.75/36,792.56 = 36,792.56/x
  3. Step 3: Cross multiply
    33,648.75x = 36,792.56 × 36,792.56
  4. Step 4: Simplify right side
    33,648.75x = 1,353,692,655.32
  5. Step 5: Solve for x
    x = 1,353,692,655.32/33,648.75
  6. Step 6: Final answer
    x = 40,230.10

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.