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Finding the Third Proportional to 4,683 and 7,161

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Solution

The third proportional to 4,683 and 7,161 is: 10,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683 : 7,161 = 7,161 : x
  2. Step 2: Convert to fraction form
    4,683/7,161 = 7,161/x
  3. Step 3: Cross multiply
    4,683x = 7,161 × 7,161
  4. Step 4: Simplify right side
    4,683x = 51,279,921
  5. Step 5: Solve for x
    x = 51,279,921/4,683
  6. Step 6: Final answer
    x = 10,950.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.