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Finding the Third Proportional to 27,104 and 38,683

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Solution

The third proportional to 27,104 and 38,683 is: 55,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,104 : 38,683 = 38,683 : x
  2. Step 2: Convert to fraction form
    27,104/38,683 = 38,683/x
  3. Step 3: Cross multiply
    27,104x = 38,683 × 38,683
  4. Step 4: Simplify right side
    27,104x = 1,496,374,489
  5. Step 5: Solve for x
    x = 1,496,374,489/27,104
  6. Step 6: Final answer
    x = 55,208.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.