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Finding the Third Proportional to 47,022 and 97,932

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Solution

The third proportional to 47,022 and 97,932 is: 203,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,022 : 97,932 = 97,932 : x
  2. Step 2: Convert to fraction form
    47,022/97,932 = 97,932/x
  3. Step 3: Cross multiply
    47,022x = 97,932 × 97,932
  4. Step 4: Simplify right side
    47,022x = 9,590,676,624
  5. Step 5: Solve for x
    x = 9,590,676,624/47,022
  6. Step 6: Final answer
    x = 203,961.48

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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.