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Finding the Third Proportional to 38,930 and 86,500

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Solution

The third proportional to 38,930 and 86,500 is: 192,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,930 : 86,500 = 86,500 : x
  2. Step 2: Convert to fraction form
    38,930/86,500 = 86,500/x
  3. Step 3: Cross multiply
    38,930x = 86,500 × 86,500
  4. Step 4: Simplify right side
    38,930x = 7,482,250,000
  5. Step 5: Solve for x
    x = 7,482,250,000/38,930
  6. Step 6: Final answer
    x = 192,197.53

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.