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Finding the Third Proportional to 11,061 and 23,256

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Solution

The third proportional to 11,061 and 23,256 is: 48,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,061 : 23,256 = 23,256 : x
  2. Step 2: Convert to fraction form
    11,061/23,256 = 23,256/x
  3. Step 3: Cross multiply
    11,061x = 23,256 × 23,256
  4. Step 4: Simplify right side
    11,061x = 540,841,536
  5. Step 5: Solve for x
    x = 540,841,536/11,061
  6. Step 6: Final answer
    x = 48,896.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.