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Finding the Third Proportional to 33,247 and 72,750

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Solution

The third proportional to 33,247 and 72,750 is: 159,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247 : 72,750 = 72,750 : x
  2. Step 2: Convert to fraction form
    33,247/72,750 = 72,750/x
  3. Step 3: Cross multiply
    33,247x = 72,750 × 72,750
  4. Step 4: Simplify right side
    33,247x = 5,292,562,500
  5. Step 5: Solve for x
    x = 5,292,562,500/33,247
  6. Step 6: Final answer
    x = 159,189.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.