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Finding the Third Proportional to 31,772.25 and 67,766.63

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Solution

The third proportional to 31,772.25 and 67,766.63 is: 144,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.25 : 67,766.63 = 67,766.63 : x
  2. Step 2: Convert to fraction form
    31,772.25/67,766.63 = 67,766.63/x
  3. Step 3: Cross multiply
    31,772.25x = 67,766.63 × 67,766.63
  4. Step 4: Simplify right side
    31,772.25x = 4,592,315,463.89
  5. Step 5: Solve for x
    x = 4,592,315,463.89/31,772.25
  6. Step 6: Final answer
    x = 144,538.57

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.