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Finding the Third Proportional to 23,047 and 50,265

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Solution

The third proportional to 23,047 and 50,265 is: 109,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047 : 50,265 = 50,265 : x
  2. Step 2: Convert to fraction form
    23,047/50,265 = 50,265/x
  3. Step 3: Cross multiply
    23,047x = 50,265 × 50,265
  4. Step 4: Simplify right side
    23,047x = 2,526,570,225
  5. Step 5: Solve for x
    x = 2,526,570,225/23,047
  6. Step 6: Final answer
    x = 109,626.86

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Why These Related Problems?

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