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Finding the Third Proportional to 24,922.69 and 54,902.81

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Solution

The third proportional to 24,922.69 and 54,902.81 is: 120,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922.69 : 54,902.81 = 54,902.81 : x
  2. Step 2: Convert to fraction form
    24,922.69/54,902.81 = 54,902.81/x
  3. Step 3: Cross multiply
    24,922.69x = 54,902.81 × 54,902.81
  4. Step 4: Simplify right side
    24,922.69x = 3,014,318,820.41
  5. Step 5: Solve for x
    x = 3,014,318,820.41/24,922.69
  6. Step 6: Final answer
    x = 120,946.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.