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Finding the Third Proportional to 33,473.25 and 44,628.47

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Solution

The third proportional to 33,473.25 and 44,628.47 is: 59,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,473.25 : 44,628.47 = 44,628.47 : x
  2. Step 2: Convert to fraction form
    33,473.25/44,628.47 = 44,628.47/x
  3. Step 3: Cross multiply
    33,473.25x = 44,628.47 × 44,628.47
  4. Step 4: Simplify right side
    33,473.25x = 1,991,700,222.97
  5. Step 5: Solve for x
    x = 1,991,700,222.97/33,473.25
  6. Step 6: Final answer
    x = 59,501.25

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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.