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Finding the Third Proportional to 47,021 and 97,930

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Solution

The third proportional to 47,021 and 97,930 is: 203,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,021 : 97,930 = 97,930 : x
  2. Step 2: Convert to fraction form
    47,021/97,930 = 97,930/x
  3. Step 3: Cross multiply
    47,021x = 97,930 × 97,930
  4. Step 4: Simplify right side
    47,021x = 9,590,284,900
  5. Step 5: Solve for x
    x = 9,590,284,900/47,021
  6. Step 6: Final answer
    x = 203,957.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.