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Finding the Third Proportional to 3,731 and 7,813

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Solution

The third proportional to 3,731 and 7,813 is: 16,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731 : 7,813 = 7,813 : x
  2. Step 2: Convert to fraction form
    3,731/7,813 = 7,813/x
  3. Step 3: Cross multiply
    3,731x = 7,813 × 7,813
  4. Step 4: Simplify right side
    3,731x = 61,042,969
  5. Step 5: Solve for x
    x = 61,042,969/3,731
  6. Step 6: Final answer
    x = 16,361.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.