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Finding the Third Proportional to 4,937.38 and 10,694.75

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Solution

The third proportional to 4,937.38 and 10,694.75 is: 23,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.38 : 10,694.75 = 10,694.75 : x
  2. Step 2: Convert to fraction form
    4,937.38/10,694.75 = 10,694.75/x
  3. Step 3: Cross multiply
    4,937.38x = 10,694.75 × 10,694.75
  4. Step 4: Simplify right side
    4,937.38x = 114,377,677.56
  5. Step 5: Solve for x
    x = 114,377,677.56/4,937.38
  6. Step 6: Final answer
    x = 23,165.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.