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Finding the Third Proportional to 33,529.78 and 72,504.28

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Solution

The third proportional to 33,529.78 and 72,504.28 is: 156,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,529.78 : 72,504.28 = 72,504.28 : x
  2. Step 2: Convert to fraction form
    33,529.78/72,504.28 = 72,504.28/x
  3. Step 3: Cross multiply
    33,529.78x = 72,504.28 × 72,504.28
  4. Step 4: Simplify right side
    33,529.78x = 5,256,870,799.58
  5. Step 5: Solve for x
    x = 5,256,870,799.58/33,529.78
  6. Step 6: Final answer
    x = 156,782.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.