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Finding the Third Proportional to 31,672.88 and 68,858.63

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Solution

The third proportional to 31,672.88 and 68,858.63 is: 149,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.88 : 68,858.63 = 68,858.63 : x
  2. Step 2: Convert to fraction form
    31,672.88/68,858.63 = 68,858.63/x
  3. Step 3: Cross multiply
    31,672.88x = 68,858.63 × 68,858.63
  4. Step 4: Simplify right side
    31,672.88x = 4,741,510,236.89
  5. Step 5: Solve for x
    x = 4,741,510,236.89/31,672.88
  6. Step 6: Final answer
    x = 149,702.55

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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.