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Finding the Third Proportional to 27,936 and 61,056

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Solution

The third proportional to 27,936 and 61,056 is: 133,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,936 : 61,056 = 61,056 : x
  2. Step 2: Convert to fraction form
    27,936/61,056 = 61,056/x
  3. Step 3: Cross multiply
    27,936x = 61,056 × 61,056
  4. Step 4: Simplify right side
    27,936x = 3,727,835,136
  5. Step 5: Solve for x
    x = 3,727,835,136/27,936
  6. Step 6: Final answer
    x = 133,441.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.