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Finding the Third Proportional to 3,762.75 and 8,664.38

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Solution

The third proportional to 3,762.75 and 8,664.38 is: 19,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.75 : 8,664.38 = 8,664.38 : x
  2. Step 2: Convert to fraction form
    3,762.75/8,664.38 = 8,664.38/x
  3. Step 3: Cross multiply
    3,762.75x = 8,664.38 × 8,664.38
  4. Step 4: Simplify right side
    3,762.75x = 75,071,394.14
  5. Step 5: Solve for x
    x = 75,071,394.14/3,762.75
  6. Step 6: Final answer
    x = 19,951.20

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.