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Finding the Third Proportional to 39,197.67 and 57,873.23

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Solution

The third proportional to 39,197.67 and 57,873.23 is: 85,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,197.67 : 57,873.23 = 57,873.23 : x
  2. Step 2: Convert to fraction form
    39,197.67/57,873.23 = 57,873.23/x
  3. Step 3: Cross multiply
    39,197.67x = 57,873.23 × 57,873.23
  4. Step 4: Simplify right side
    39,197.67x = 3,349,311,257.02
  5. Step 5: Solve for x
    x = 3,349,311,257.02/39,197.67
  6. Step 6: Final answer
    x = 85,446.69

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.