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Finding the Third Proportional to 7,683 and 12,231

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Solution

The third proportional to 7,683 and 12,231 is: 19,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683 : 12,231 = 12,231 : x
  2. Step 2: Convert to fraction form
    7,683/12,231 = 12,231/x
  3. Step 3: Cross multiply
    7,683x = 12,231 × 12,231
  4. Step 4: Simplify right side
    7,683x = 149,597,361
  5. Step 5: Solve for x
    x = 149,597,361/7,683
  6. Step 6: Final answer
    x = 19,471.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.