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Finding the Third Proportional to 38,204 and 83,050

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Solution

The third proportional to 38,204 and 83,050 is: 180,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204 : 83,050 = 83,050 : x
  2. Step 2: Convert to fraction form
    38,204/83,050 = 83,050/x
  3. Step 3: Cross multiply
    38,204x = 83,050 × 83,050
  4. Step 4: Simplify right side
    38,204x = 6,897,302,500
  5. Step 5: Solve for x
    x = 6,897,302,500/38,204
  6. Step 6: Final answer
    x = 180,538.75

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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.