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Finding the Third Proportional to 39,679.24 and 85,432.54

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Solution

The third proportional to 39,679.24 and 85,432.54 is: 183,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,679.24 : 85,432.54 = 85,432.54 : x
  2. Step 2: Convert to fraction form
    39,679.24/85,432.54 = 85,432.54/x
  3. Step 3: Cross multiply
    39,679.24x = 85,432.54 × 85,432.54
  4. Step 4: Simplify right side
    39,679.24x = 7,298,718,063.22
  5. Step 5: Solve for x
    x = 7,298,718,063.22/39,679.24
  6. Step 6: Final answer
    x = 183,942.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.