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Finding the Third Proportional to 11,056 and 23,965

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Solution

The third proportional to 11,056 and 23,965 is: 51,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,056 : 23,965 = 23,965 : x
  2. Step 2: Convert to fraction form
    11,056/23,965 = 23,965/x
  3. Step 3: Cross multiply
    11,056x = 23,965 × 23,965
  4. Step 4: Simplify right side
    11,056x = 574,321,225
  5. Step 5: Solve for x
    x = 574,321,225/11,056
  6. Step 6: Final answer
    x = 51,946.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.