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Finding the Third Proportional to 38,265.94 and 57,437.44

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Solution

The third proportional to 38,265.94 and 57,437.44 is: 86,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265.94 : 57,437.44 = 57,437.44 : x
  2. Step 2: Convert to fraction form
    38,265.94/57,437.44 = 57,437.44/x
  3. Step 3: Cross multiply
    38,265.94x = 57,437.44 × 57,437.44
  4. Step 4: Simplify right side
    38,265.94x = 3,299,059,226.57
  5. Step 5: Solve for x
    x = 3,299,059,226.57/38,265.94
  6. Step 6: Final answer
    x = 86,213.99

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