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Finding the Third Proportional to 47,284 and 96,728

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Solution

The third proportional to 47,284 and 96,728 is: 197,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,284 : 96,728 = 96,728 : x
  2. Step 2: Convert to fraction form
    47,284/96,728 = 96,728/x
  3. Step 3: Cross multiply
    47,284x = 96,728 × 96,728
  4. Step 4: Simplify right side
    47,284x = 9,356,305,984
  5. Step 5: Solve for x
    x = 9,356,305,984/47,284
  6. Step 6: Final answer
    x = 197,874.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.