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Finding the Third Proportional to 38,200.50 and 58,398.75

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Solution

The third proportional to 38,200.50 and 58,398.75 is: 89,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.50 : 58,398.75 = 58,398.75 : x
  2. Step 2: Convert to fraction form
    38,200.50/58,398.75 = 58,398.75/x
  3. Step 3: Cross multiply
    38,200.50x = 58,398.75 × 58,398.75
  4. Step 4: Simplify right side
    38,200.50x = 3,410,414,001.56
  5. Step 5: Solve for x
    x = 3,410,414,001.56/38,200.50
  6. Step 6: Final answer
    x = 89,276.68

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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.