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Finding the Third Proportional to 40,422.48 and 85,034.81

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Solution

The third proportional to 40,422.48 and 85,034.81 is: 178,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,422.48 : 85,034.81 = 85,034.81 : x
  2. Step 2: Convert to fraction form
    40,422.48/85,034.81 = 85,034.81/x
  3. Step 3: Cross multiply
    40,422.48x = 85,034.81 × 85,034.81
  4. Step 4: Simplify right side
    40,422.48x = 7,230,919,336.91
  5. Step 5: Solve for x
    x = 7,230,919,336.91/40,422.48
  6. Step 6: Final answer
    x = 178,883.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.