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Finding the Third Proportional to 24,951.94 and 35,867.06

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Solution

The third proportional to 24,951.94 and 35,867.06 is: 51,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,951.94 : 35,867.06 = 35,867.06 : x
  2. Step 2: Convert to fraction form
    24,951.94/35,867.06 = 35,867.06/x
  3. Step 3: Cross multiply
    24,951.94x = 35,867.06 × 35,867.06
  4. Step 4: Simplify right side
    24,951.94x = 1,286,446,172.38
  5. Step 5: Solve for x
    x = 1,286,446,172.38/24,951.94
  6. Step 6: Final answer
    x = 51,556.97

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.