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Finding the Third Proportional to 47,800 and 97,672

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Solution

The third proportional to 47,800 and 97,672 is: 199,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,800 : 97,672 = 97,672 : x
  2. Step 2: Convert to fraction form
    47,800/97,672 = 97,672/x
  3. Step 3: Cross multiply
    47,800x = 97,672 × 97,672
  4. Step 4: Simplify right side
    47,800x = 9,539,819,584
  5. Step 5: Solve for x
    x = 9,539,819,584/47,800
  6. Step 6: Final answer
    x = 199,577.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.