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Finding the Third Proportional to 33,500.25 and 44,685

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Solution

The third proportional to 33,500.25 and 44,685 is: 59,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,500.25 : 44,685 = 44,685 : x
  2. Step 2: Convert to fraction form
    33,500.25/44,685 = 44,685/x
  3. Step 3: Cross multiply
    33,500.25x = 44,685 × 44,685
  4. Step 4: Simplify right side
    33,500.25x = 1,996,749,225
  5. Step 5: Solve for x
    x = 1,996,749,225/33,500.25
  6. Step 6: Final answer
    x = 59,604.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.