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Finding the Third Proportional to 33,382.13 and 72,596.25

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Solution

The third proportional to 33,382.13 and 72,596.25 is: 157,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,382.13 : 72,596.25 = 72,596.25 : x
  2. Step 2: Convert to fraction form
    33,382.13/72,596.25 = 72,596.25/x
  3. Step 3: Cross multiply
    33,382.13x = 72,596.25 × 72,596.25
  4. Step 4: Simplify right side
    33,382.13x = 5,270,215,514.06
  5. Step 5: Solve for x
    x = 5,270,215,514.06/33,382.13
  6. Step 6: Final answer
    x = 157,875.38

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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.