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Finding the Third Proportional to 38,782 and 85,420

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Solution

The third proportional to 38,782 and 85,420 is: 188,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782 : 85,420 = 85,420 : x
  2. Step 2: Convert to fraction form
    38,782/85,420 = 85,420/x
  3. Step 3: Cross multiply
    38,782x = 85,420 × 85,420
  4. Step 4: Simplify right side
    38,782x = 7,296,576,400
  5. Step 5: Solve for x
    x = 7,296,576,400/38,782
  6. Step 6: Final answer
    x = 188,143.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.