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Finding the Third Proportional to 36,334 and 54,683

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Solution

The third proportional to 36,334 and 54,683 is: 82,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,334 : 54,683 = 54,683 : x
  2. Step 2: Convert to fraction form
    36,334/54,683 = 54,683/x
  3. Step 3: Cross multiply
    36,334x = 54,683 × 54,683
  4. Step 4: Simplify right side
    36,334x = 2,990,230,489
  5. Step 5: Solve for x
    x = 2,990,230,489/36,334
  6. Step 6: Final answer
    x = 82,298.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.