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Finding the Third Proportional to 39,981.94 and 85,499.72

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Solution

The third proportional to 39,981.94 and 85,499.72 is: 182,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,981.94 : 85,499.72 = 85,499.72 : x
  2. Step 2: Convert to fraction form
    39,981.94/85,499.72 = 85,499.72/x
  3. Step 3: Cross multiply
    39,981.94x = 85,499.72 × 85,499.72
  4. Step 4: Simplify right side
    39,981.94x = 7,310,201,906.33
  5. Step 5: Solve for x
    x = 7,310,201,906.33/39,981.94
  6. Step 6: Final answer
    x = 182,837.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.