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Finding the Third Proportional to 38,385.75 and 58,793.75

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Solution

The third proportional to 38,385.75 and 58,793.75 is: 90,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,385.75 : 58,793.75 = 58,793.75 : x
  2. Step 2: Convert to fraction form
    38,385.75/58,793.75 = 58,793.75/x
  3. Step 3: Cross multiply
    38,385.75x = 58,793.75 × 58,793.75
  4. Step 4: Simplify right side
    38,385.75x = 3,456,705,039.06
  5. Step 5: Solve for x
    x = 3,456,705,039.06/38,385.75
  6. Step 6: Final answer
    x = 90,051.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.