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Finding the Third Proportional to 33,203 and 44,535

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Solution

The third proportional to 33,203 and 44,535 is: 59,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,203 : 44,535 = 44,535 : x
  2. Step 2: Convert to fraction form
    33,203/44,535 = 44,535/x
  3. Step 3: Cross multiply
    33,203x = 44,535 × 44,535
  4. Step 4: Simplify right side
    33,203x = 1,983,366,225
  5. Step 5: Solve for x
    x = 1,983,366,225/33,203
  6. Step 6: Final answer
    x = 59,734.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.