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Finding the Third Proportional to 31,190.38 and 63,734.82

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Solution

The third proportional to 31,190.38 and 63,734.82 is: 130,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,190.38 : 63,734.82 = 63,734.82 : x
  2. Step 2: Convert to fraction form
    31,190.38/63,734.82 = 63,734.82/x
  3. Step 3: Cross multiply
    31,190.38x = 63,734.82 × 63,734.82
  4. Step 4: Simplify right side
    31,190.38x = 4,062,127,071.30
  5. Step 5: Solve for x
    x = 4,062,127,071.30/31,190.38
  6. Step 6: Final answer
    x = 130,236.54

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.