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Finding the Third Proportional to 24,815.25 and 54,814.50

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Solution

The third proportional to 24,815.25 and 54,814.50 is: 121,079.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.25 : 54,814.50 = 54,814.50 : x
  2. Step 2: Convert to fraction form
    24,815.25/54,814.50 = 54,814.50/x
  3. Step 3: Cross multiply
    24,815.25x = 54,814.50 × 54,814.50
  4. Step 4: Simplify right side
    24,815.25x = 3,004,629,410.25
  5. Step 5: Solve for x
    x = 3,004,629,410.25/24,815.25
  6. Step 6: Final answer
    x = 121,079.96

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.