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Finding the Third Proportional to 38,658.94 and 42,729.19

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Solution

The third proportional to 38,658.94 and 42,729.19 is: 47,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.94 : 42,729.19 = 42,729.19 : x
  2. Step 2: Convert to fraction form
    38,658.94/42,729.19 = 42,729.19/x
  3. Step 3: Cross multiply
    38,658.94x = 42,729.19 × 42,729.19
  4. Step 4: Simplify right side
    38,658.94x = 1,825,783,464.41
  5. Step 5: Solve for x
    x = 1,825,783,464.41/38,658.94
  6. Step 6: Final answer
    x = 47,227.98

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.