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Finding the Third Proportional to 33,427.69 and 72,398.81

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Solution

The third proportional to 33,427.69 and 72,398.81 is: 156,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,427.69 : 72,398.81 = 72,398.81 : x
  2. Step 2: Convert to fraction form
    33,427.69/72,398.81 = 72,398.81/x
  3. Step 3: Cross multiply
    33,427.69x = 72,398.81 × 72,398.81
  4. Step 4: Simplify right side
    33,427.69x = 5,241,588,051.41
  5. Step 5: Solve for x
    x = 5,241,588,051.41/33,427.69
  6. Step 6: Final answer
    x = 156,803.79

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