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Finding the Third Proportional to 17,659.69 and 38,804.91

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Solution

The third proportional to 17,659.69 and 38,804.91 is: 85,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.69 : 38,804.91 = 38,804.91 : x
  2. Step 2: Convert to fraction form
    17,659.69/38,804.91 = 38,804.91/x
  3. Step 3: Cross multiply
    17,659.69x = 38,804.91 × 38,804.91
  4. Step 4: Simplify right side
    17,659.69x = 1,505,820,749.07
  5. Step 5: Solve for x
    x = 1,505,820,749.07/17,659.69
  6. Step 6: Final answer
    x = 85,268.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.