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Finding the Third Proportional to 31,438.13 and 39,745.69

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Solution

The third proportional to 31,438.13 and 39,745.69 is: 50,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.13 : 39,745.69 = 39,745.69 : x
  2. Step 2: Convert to fraction form
    31,438.13/39,745.69 = 39,745.69/x
  3. Step 3: Cross multiply
    31,438.13x = 39,745.69 × 39,745.69
  4. Step 4: Simplify right side
    31,438.13x = 1,579,719,674.85
  5. Step 5: Solve for x
    x = 1,579,719,674.85/31,438.13
  6. Step 6: Final answer
    x = 50,248.53

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.