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Finding the Third Proportional to 27,299 and 35,116

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Solution

The third proportional to 27,299 and 35,116 is: 45,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,299 : 35,116 = 35,116 : x
  2. Step 2: Convert to fraction form
    27,299/35,116 = 35,116/x
  3. Step 3: Cross multiply
    27,299x = 35,116 × 35,116
  4. Step 4: Simplify right side
    27,299x = 1,233,133,456
  5. Step 5: Solve for x
    x = 1,233,133,456/27,299
  6. Step 6: Final answer
    x = 45,171.38

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.