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Finding the Third Proportional to 23,110 and 50,270

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Solution

The third proportional to 23,110 and 50,270 is: 109,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,110 : 50,270 = 50,270 : x
  2. Step 2: Convert to fraction form
    23,110/50,270 = 50,270/x
  3. Step 3: Cross multiply
    23,110x = 50,270 × 50,270
  4. Step 4: Simplify right side
    23,110x = 2,527,072,900
  5. Step 5: Solve for x
    x = 2,527,072,900/23,110
  6. Step 6: Final answer
    x = 109,349.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.