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Finding the Third Proportional to 17,705.25 and 38,316.38

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Solution

The third proportional to 17,705.25 and 38,316.38 is: 82,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.25 : 38,316.38 = 38,316.38 : x
  2. Step 2: Convert to fraction form
    17,705.25/38,316.38 = 38,316.38/x
  3. Step 3: Cross multiply
    17,705.25x = 38,316.38 × 38,316.38
  4. Step 4: Simplify right side
    17,705.25x = 1,468,144,593.14
  5. Step 5: Solve for x
    x = 1,468,144,593.14/17,705.25
  6. Step 6: Final answer
    x = 82,921.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.