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Finding the Third Proportional to 31,748.63 and 68,961.38

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Solution

The third proportional to 31,748.63 and 68,961.38 is: 149,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,748.63 : 68,961.38 = 68,961.38 : x
  2. Step 2: Convert to fraction form
    31,748.63/68,961.38 = 68,961.38/x
  3. Step 3: Cross multiply
    31,748.63x = 68,961.38 × 68,961.38
  4. Step 4: Simplify right side
    31,748.63x = 4,755,671,241.89
  5. Step 5: Solve for x
    x = 4,755,671,241.89/31,748.63
  6. Step 6: Final answer
    x = 149,791.41

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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.