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Finding the Third Proportional to 33,832.13 and 72,357.75

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Solution

The third proportional to 33,832.13 and 72,357.75 is: 154,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832.13 : 72,357.75 = 72,357.75 : x
  2. Step 2: Convert to fraction form
    33,832.13/72,357.75 = 72,357.75/x
  3. Step 3: Cross multiply
    33,832.13x = 72,357.75 × 72,357.75
  4. Step 4: Simplify right side
    33,832.13x = 5,235,643,985.06
  5. Step 5: Solve for x
    x = 5,235,643,985.06/33,832.13
  6. Step 6: Final answer
    x = 154,753.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.