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Finding the Third Proportional to 18,296 and 27,056

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Solution

The third proportional to 18,296 and 27,056 is: 40,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296 : 27,056 = 27,056 : x
  2. Step 2: Convert to fraction form
    18,296/27,056 = 27,056/x
  3. Step 3: Cross multiply
    18,296x = 27,056 × 27,056
  4. Step 4: Simplify right side
    18,296x = 732,027,136
  5. Step 5: Solve for x
    x = 732,027,136/18,296
  6. Step 6: Final answer
    x = 40,010.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.