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Finding the Third Proportional to 27,094 and 43,665

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Solution

The third proportional to 27,094 and 43,665 is: 70,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,094 : 43,665 = 43,665 : x
  2. Step 2: Convert to fraction form
    27,094/43,665 = 43,665/x
  3. Step 3: Cross multiply
    27,094x = 43,665 × 43,665
  4. Step 4: Simplify right side
    27,094x = 1,906,632,225
  5. Step 5: Solve for x
    x = 1,906,632,225/27,094
  6. Step 6: Final answer
    x = 70,371.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.