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Finding the Third Proportional to 31,679.23 and 73,662.22

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Solution

The third proportional to 31,679.23 and 73,662.22 is: 171,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,679.23 : 73,662.22 = 73,662.22 : x
  2. Step 2: Convert to fraction form
    31,679.23/73,662.22 = 73,662.22/x
  3. Step 3: Cross multiply
    31,679.23x = 73,662.22 × 73,662.22
  4. Step 4: Simplify right side
    31,679.23x = 5,426,123,046.66
  5. Step 5: Solve for x
    x = 5,426,123,046.66/31,679.23
  6. Step 6: Final answer
    x = 171,283.32

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.