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Finding the Third Proportional to 7,896.23 and 17,364.38

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Solution

The third proportional to 7,896.23 and 17,364.38 is: 38,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.23 : 17,364.38 = 17,364.38 : x
  2. Step 2: Convert to fraction form
    7,896.23/17,364.38 = 17,364.38/x
  3. Step 3: Cross multiply
    7,896.23x = 17,364.38 × 17,364.38
  4. Step 4: Simplify right side
    7,896.23x = 301,521,519.14
  5. Step 5: Solve for x
    x = 301,521,519.14/7,896.23
  6. Step 6: Final answer
    x = 38,185.48

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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.