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Finding the Third Proportional to 17,884.69 and 38,844.56

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Solution

The third proportional to 17,884.69 and 38,844.56 is: 84,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.69 : 38,844.56 = 38,844.56 : x
  2. Step 2: Convert to fraction form
    17,884.69/38,844.56 = 38,844.56/x
  3. Step 3: Cross multiply
    17,884.69x = 38,844.56 × 38,844.56
  4. Step 4: Simplify right side
    17,884.69x = 1,508,900,035.82
  5. Step 5: Solve for x
    x = 1,508,900,035.82/17,884.69
  6. Step 6: Final answer
    x = 84,368.26

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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.