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Finding the Third Proportional to 24,953.06 and 53,902.97

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Solution

The third proportional to 24,953.06 and 53,902.97 is: 116,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,953.06 : 53,902.97 = 53,902.97 : x
  2. Step 2: Convert to fraction form
    24,953.06/53,902.97 = 53,902.97/x
  3. Step 3: Cross multiply
    24,953.06x = 53,902.97 × 53,902.97
  4. Step 4: Simplify right side
    24,953.06x = 2,905,530,040.06
  5. Step 5: Solve for x
    x = 2,905,530,040.06/24,953.06
  6. Step 6: Final answer
    x = 116,439.82

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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.