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Finding the Third Proportional to 35,967 and 84,007

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Solution

The third proportional to 35,967 and 84,007 is: 196,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,967 : 84,007 = 84,007 : x
  2. Step 2: Convert to fraction form
    35,967/84,007 = 84,007/x
  3. Step 3: Cross multiply
    35,967x = 84,007 × 84,007
  4. Step 4: Simplify right side
    35,967x = 7,057,176,049
  5. Step 5: Solve for x
    x = 7,057,176,049/35,967
  6. Step 6: Final answer
    x = 196,212.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.