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Finding the Third Proportional to 38,091 and 57,100.50

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Solution

The third proportional to 38,091 and 57,100.50 is: 85,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,091 : 57,100.50 = 57,100.50 : x
  2. Step 2: Convert to fraction form
    38,091/57,100.50 = 57,100.50/x
  3. Step 3: Cross multiply
    38,091x = 57,100.50 × 57,100.50
  4. Step 4: Simplify right side
    38,091x = 3,260,467,100.25
  5. Step 5: Solve for x
    x = 3,260,467,100.25/38,091
  6. Step 6: Final answer
    x = 85,596.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.