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Finding the Third Proportional to 38,251.75 and 42,147.25

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Solution

The third proportional to 38,251.75 and 42,147.25 is: 46,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,251.75 : 42,147.25 = 42,147.25 : x
  2. Step 2: Convert to fraction form
    38,251.75/42,147.25 = 42,147.25/x
  3. Step 3: Cross multiply
    38,251.75x = 42,147.25 × 42,147.25
  4. Step 4: Simplify right side
    38,251.75x = 1,776,390,682.56
  5. Step 5: Solve for x
    x = 1,776,390,682.56/38,251.75
  6. Step 6: Final answer
    x = 46,439.46

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.