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Finding the Third Proportional to 38,328 and 83,406

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Solution

The third proportional to 38,328 and 83,406 is: 181,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,328 : 83,406 = 83,406 : x
  2. Step 2: Convert to fraction form
    38,328/83,406 = 83,406/x
  3. Step 3: Cross multiply
    38,328x = 83,406 × 83,406
  4. Step 4: Simplify right side
    38,328x = 6,956,560,836
  5. Step 5: Solve for x
    x = 6,956,560,836/38,328
  6. Step 6: Final answer
    x = 181,500.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.