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Finding the Third Proportional to 27,097 and 35,962

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Solution

The third proportional to 27,097 and 35,962 is: 47,727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097 : 35,962 = 35,962 : x
  2. Step 2: Convert to fraction form
    27,097/35,962 = 35,962/x
  3. Step 3: Cross multiply
    27,097x = 35,962 × 35,962
  4. Step 4: Simplify right side
    27,097x = 1,293,265,444
  5. Step 5: Solve for x
    x = 1,293,265,444/27,097
  6. Step 6: Final answer
    x = 47,727.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.