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Finding the Third Proportional to 31,243.25 and 67,407.25

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Solution

The third proportional to 31,243.25 and 67,407.25 is: 145,431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,243.25 : 67,407.25 = 67,407.25 : x
  2. Step 2: Convert to fraction form
    31,243.25/67,407.25 = 67,407.25/x
  3. Step 3: Cross multiply
    31,243.25x = 67,407.25 × 67,407.25
  4. Step 4: Simplify right side
    31,243.25x = 4,543,737,352.56
  5. Step 5: Solve for x
    x = 4,543,737,352.56/31,243.25
  6. Step 6: Final answer
    x = 145,431.01

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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.