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Finding the Third Proportional to 33,060 and 72,650

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Solution

The third proportional to 33,060 and 72,650 is: 159,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,060 : 72,650 = 72,650 : x
  2. Step 2: Convert to fraction form
    33,060/72,650 = 72,650/x
  3. Step 3: Cross multiply
    33,060x = 72,650 × 72,650
  4. Step 4: Simplify right side
    33,060x = 5,278,022,500
  5. Step 5: Solve for x
    x = 5,278,022,500/33,060
  6. Step 6: Final answer
    x = 159,649.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.