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Finding the Third Proportional to 33,264 and 44,280

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Solution

The third proportional to 33,264 and 44,280 is: 58,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,264 : 44,280 = 44,280 : x
  2. Step 2: Convert to fraction form
    33,264/44,280 = 44,280/x
  3. Step 3: Cross multiply
    33,264x = 44,280 × 44,280
  4. Step 4: Simplify right side
    33,264x = 1,960,718,400
  5. Step 5: Solve for x
    x = 1,960,718,400/33,264
  6. Step 6: Final answer
    x = 58,944.16

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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.