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Finding the Third Proportional to 23,091.75 and 49,867.31

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Solution

The third proportional to 23,091.75 and 49,867.31 is: 107,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,091.75 : 49,867.31 = 49,867.31 : x
  2. Step 2: Convert to fraction form
    23,091.75/49,867.31 = 49,867.31/x
  3. Step 3: Cross multiply
    23,091.75x = 49,867.31 × 49,867.31
  4. Step 4: Simplify right side
    23,091.75x = 2,486,748,855.97
  5. Step 5: Solve for x
    x = 2,486,748,855.97/23,091.75
  6. Step 6: Final answer
    x = 107,689.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.