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Finding the Third Proportional to 7,934 and 12,383

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Solution

The third proportional to 7,934 and 12,383 is: 19,326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934 : 12,383 = 12,383 : x
  2. Step 2: Convert to fraction form
    7,934/12,383 = 12,383/x
  3. Step 3: Cross multiply
    7,934x = 12,383 × 12,383
  4. Step 4: Simplify right side
    7,934x = 153,338,689
  5. Step 5: Solve for x
    x = 153,338,689/7,934
  6. Step 6: Final answer
    x = 19,326.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.