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Finding the Third Proportional to 31,022.25 and 67,293

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Solution

The third proportional to 31,022.25 and 67,293 is: 145,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,022.25 : 67,293 = 67,293 : x
  2. Step 2: Convert to fraction form
    31,022.25/67,293 = 67,293/x
  3. Step 3: Cross multiply
    31,022.25x = 67,293 × 67,293
  4. Step 4: Simplify right side
    31,022.25x = 4,528,347,849
  5. Step 5: Solve for x
    x = 4,528,347,849/31,022.25
  6. Step 6: Final answer
    x = 145,970.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.