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Finding the Third Proportional to 31,221.70 and 68,668.38

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Solution

The third proportional to 31,221.70 and 68,668.38 is: 151,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,221.70 : 68,668.38 = 68,668.38 : x
  2. Step 2: Convert to fraction form
    31,221.70/68,668.38 = 68,668.38/x
  3. Step 3: Cross multiply
    31,221.70x = 68,668.38 × 68,668.38
  4. Step 4: Simplify right side
    31,221.70x = 4,715,346,798.08
  5. Step 5: Solve for x
    x = 4,715,346,798.08/31,221.70
  6. Step 6: Final answer
    x = 151,027.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.