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Finding the Third Proportional to 31,407.75 and 67,174.31

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Solution

The third proportional to 31,407.75 and 67,174.31 is: 143,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.75 : 67,174.31 = 67,174.31 : x
  2. Step 2: Convert to fraction form
    31,407.75/67,174.31 = 67,174.31/x
  3. Step 3: Cross multiply
    31,407.75x = 67,174.31 × 67,174.31
  4. Step 4: Simplify right side
    31,407.75x = 4,512,388,259.85
  5. Step 5: Solve for x
    x = 4,512,388,259.85/31,407.75
  6. Step 6: Final answer
    x = 143,671.17

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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.