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Finding the Third Proportional to 33,480 and 72,756

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Solution

The third proportional to 33,480 and 72,756 is: 158,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,480 : 72,756 = 72,756 : x
  2. Step 2: Convert to fraction form
    33,480/72,756 = 72,756/x
  3. Step 3: Cross multiply
    33,480x = 72,756 × 72,756
  4. Step 4: Simplify right side
    33,480x = 5,293,435,536
  5. Step 5: Solve for x
    x = 5,293,435,536/33,480
  6. Step 6: Final answer
    x = 158,107.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.