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Finding the Third Proportional to 4,227.75 and 4,683.38

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Solution

The third proportional to 4,227.75 and 4,683.38 is: 5,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.75 : 4,683.38 = 4,683.38 : x
  2. Step 2: Convert to fraction form
    4,227.75/4,683.38 = 4,683.38/x
  3. Step 3: Cross multiply
    4,227.75x = 4,683.38 × 4,683.38
  4. Step 4: Simplify right side
    4,227.75x = 21,934,001.39
  5. Step 5: Solve for x
    x = 21,934,001.39/4,227.75
  6. Step 6: Final answer
    x = 5,188.10

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.