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Finding the Third Proportional to 33,382 and 44,593

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Solution

The third proportional to 33,382 and 44,593 is: 59,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,382 : 44,593 = 44,593 : x
  2. Step 2: Convert to fraction form
    33,382/44,593 = 44,593/x
  3. Step 3: Cross multiply
    33,382x = 44,593 × 44,593
  4. Step 4: Simplify right side
    33,382x = 1,988,535,649
  5. Step 5: Solve for x
    x = 1,988,535,649/33,382
  6. Step 6: Final answer
    x = 59,569.10

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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.