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Finding the Third Proportional to 2,431 and 3,647

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Solution

The third proportional to 2,431 and 3,647 is: 5,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431 : 3,647 = 3,647 : x
  2. Step 2: Convert to fraction form
    2,431/3,647 = 3,647/x
  3. Step 3: Cross multiply
    2,431x = 3,647 × 3,647
  4. Step 4: Simplify right side
    2,431x = 13,300,609
  5. Step 5: Solve for x
    x = 13,300,609/2,431
  6. Step 6: Final answer
    x = 5,471.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.