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Finding the Third Proportional to 22,784 and 50,053

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Solution

The third proportional to 22,784 and 50,053 is: 109,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784 : 50,053 = 50,053 : x
  2. Step 2: Convert to fraction form
    22,784/50,053 = 50,053/x
  3. Step 3: Cross multiply
    22,784x = 50,053 × 50,053
  4. Step 4: Simplify right side
    22,784x = 2,505,302,809
  5. Step 5: Solve for x
    x = 2,505,302,809/22,784
  6. Step 6: Final answer
    x = 109,958.87

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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.