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Finding the Third Proportional to 35,973 and 84,021

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Solution

The third proportional to 35,973 and 84,021 is: 196,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,973 : 84,021 = 84,021 : x
  2. Step 2: Convert to fraction form
    35,973/84,021 = 84,021/x
  3. Step 3: Cross multiply
    35,973x = 84,021 × 84,021
  4. Step 4: Simplify right side
    35,973x = 7,059,528,441
  5. Step 5: Solve for x
    x = 7,059,528,441/35,973
  6. Step 6: Final answer
    x = 196,245.20

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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.