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Finding the Third Proportional to 38,096 and 61,500

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Solution

The third proportional to 38,096 and 61,500 is: 99,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096 : 61,500 = 61,500 : x
  2. Step 2: Convert to fraction form
    38,096/61,500 = 61,500/x
  3. Step 3: Cross multiply
    38,096x = 61,500 × 61,500
  4. Step 4: Simplify right side
    38,096x = 3,782,250,000
  5. Step 5: Solve for x
    x = 3,782,250,000/38,096
  6. Step 6: Final answer
    x = 99,282.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.