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Finding the Third Proportional to 47,037 and 97,908

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Solution

The third proportional to 47,037 and 97,908 is: 203,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,037 : 97,908 = 97,908 : x
  2. Step 2: Convert to fraction form
    47,037/97,908 = 97,908/x
  3. Step 3: Cross multiply
    47,037x = 97,908 × 97,908
  4. Step 4: Simplify right side
    47,037x = 9,585,976,464
  5. Step 5: Solve for x
    x = 9,585,976,464/47,037
  6. Step 6: Final answer
    x = 203,796.51

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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.