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Finding the Third Proportional to 32,896.13 and 72,039.38

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Solution

The third proportional to 32,896.13 and 72,039.38 is: 157,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.13 : 72,039.38 = 72,039.38 : x
  2. Step 2: Convert to fraction form
    32,896.13/72,039.38 = 72,039.38/x
  3. Step 3: Cross multiply
    32,896.13x = 72,039.38 × 72,039.38
  4. Step 4: Simplify right side
    32,896.13x = 5,189,671,550.39
  5. Step 5: Solve for x
    x = 5,189,671,550.39/32,896.13
  6. Step 6: Final answer
    x = 157,759.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.