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Finding the Third Proportional to 33,765 and 72,763

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Solution

The third proportional to 33,765 and 72,763 is: 156,803.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,765 : 72,763 = 72,763 : x
  2. Step 2: Convert to fraction form
    33,765/72,763 = 72,763/x
  3. Step 3: Cross multiply
    33,765x = 72,763 × 72,763
  4. Step 4: Simplify right side
    33,765x = 5,294,454,169
  5. Step 5: Solve for x
    x = 5,294,454,169/33,765
  6. Step 6: Final answer
    x = 156,803.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.