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Finding the Third Proportional to 31,134.09 and 49,221.84

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Solution

The third proportional to 31,134.09 and 49,221.84 is: 77,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.09 : 49,221.84 = 49,221.84 : x
  2. Step 2: Convert to fraction form
    31,134.09/49,221.84 = 49,221.84/x
  3. Step 3: Cross multiply
    31,134.09x = 49,221.84 × 49,221.84
  4. Step 4: Simplify right side
    31,134.09x = 2,422,789,902.15
  5. Step 5: Solve for x
    x = 2,422,789,902.15/31,134.09
  6. Step 6: Final answer
    x = 77,817.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.