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Finding the Third Proportional to 4,623.75 and 10,092.38

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Solution

The third proportional to 4,623.75 and 10,092.38 is: 22,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.75 : 10,092.38 = 10,092.38 : x
  2. Step 2: Convert to fraction form
    4,623.75/10,092.38 = 10,092.38/x
  3. Step 3: Cross multiply
    4,623.75x = 10,092.38 × 10,092.38
  4. Step 4: Simplify right side
    4,623.75x = 101,856,033.14
  5. Step 5: Solve for x
    x = 101,856,033.14/4,623.75
  6. Step 6: Final answer
    x = 22,028.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.