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Finding the Third Proportional to 31,049.42 and 67,016.74

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Solution

The third proportional to 31,049.42 and 67,016.74 is: 144,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.42 : 67,016.74 = 67,016.74 : x
  2. Step 2: Convert to fraction form
    31,049.42/67,016.74 = 67,016.74/x
  3. Step 3: Cross multiply
    31,049.42x = 67,016.74 × 67,016.74
  4. Step 4: Simplify right side
    31,049.42x = 4,491,243,733.43
  5. Step 5: Solve for x
    x = 4,491,243,733.43/31,049.42
  6. Step 6: Final answer
    x = 144,648.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.