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Finding the Third Proportional to 24,922.69 and 54,497.81

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Solution

The third proportional to 24,922.69 and 54,497.81 is: 119,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922.69 : 54,497.81 = 54,497.81 : x
  2. Step 2: Convert to fraction form
    24,922.69/54,497.81 = 54,497.81/x
  3. Step 3: Cross multiply
    24,922.69x = 54,497.81 × 54,497.81
  4. Step 4: Simplify right side
    24,922.69x = 2,970,011,567.29
  5. Step 5: Solve for x
    x = 2,970,011,567.29/24,922.69
  6. Step 6: Final answer
    x = 119,168.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.