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Finding the Third Proportional to 23,133.09 and 49,837.78

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Solution

The third proportional to 23,133.09 and 49,837.78 is: 107,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.09 : 49,837.78 = 49,837.78 : x
  2. Step 2: Convert to fraction form
    23,133.09/49,837.78 = 49,837.78/x
  3. Step 3: Cross multiply
    23,133.09x = 49,837.78 × 49,837.78
  4. Step 4: Simplify right side
    23,133.09x = 2,483,804,439.92
  5. Step 5: Solve for x
    x = 2,483,804,439.92/23,133.09
  6. Step 6: Final answer
    x = 107,370.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.