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Finding the Third Proportional to 24,774.75 and 55,221.75

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Solution

The third proportional to 24,774.75 and 55,221.75 is: 123,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.75 : 55,221.75 = 55,221.75 : x
  2. Step 2: Convert to fraction form
    24,774.75/55,221.75 = 55,221.75/x
  3. Step 3: Cross multiply
    24,774.75x = 55,221.75 × 55,221.75
  4. Step 4: Simplify right side
    24,774.75x = 3,049,441,673.06
  5. Step 5: Solve for x
    x = 3,049,441,673.06/24,774.75
  6. Step 6: Final answer
    x = 123,086.68

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.