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Finding the Third Proportional to 9,936 and 23,056

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Solution

The third proportional to 9,936 and 23,056 is: 53,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936 : 23,056 = 23,056 : x
  2. Step 2: Convert to fraction form
    9,936/23,056 = 23,056/x
  3. Step 3: Cross multiply
    9,936x = 23,056 × 23,056
  4. Step 4: Simplify right side
    9,936x = 531,579,136
  5. Step 5: Solve for x
    x = 531,579,136/9,936
  6. Step 6: Final answer
    x = 53,500.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.