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Finding the Third Proportional to 7,683 and 11,727

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Solution

The third proportional to 7,683 and 11,727 is: 17,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683 : 11,727 = 11,727 : x
  2. Step 2: Convert to fraction form
    7,683/11,727 = 11,727/x
  3. Step 3: Cross multiply
    7,683x = 11,727 × 11,727
  4. Step 4: Simplify right side
    7,683x = 137,522,529
  5. Step 5: Solve for x
    x = 137,522,529/7,683
  6. Step 6: Final answer
    x = 17,899.59

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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.