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Finding the Third Proportional to 38,384 and 83,325

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Solution

The third proportional to 38,384 and 83,325 is: 180,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,384 : 83,325 = 83,325 : x
  2. Step 2: Convert to fraction form
    38,384/83,325 = 83,325/x
  3. Step 3: Cross multiply
    38,384x = 83,325 × 83,325
  4. Step 4: Simplify right side
    38,384x = 6,943,055,625
  5. Step 5: Solve for x
    x = 6,943,055,625/38,384
  6. Step 6: Final answer
    x = 180,884.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.