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Finding the Third Proportional to 4,571 and 8,431

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Solution

The third proportional to 4,571 and 8,431 is: 15,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571 : 8,431 = 8,431 : x
  2. Step 2: Convert to fraction form
    4,571/8,431 = 8,431/x
  3. Step 3: Cross multiply
    4,571x = 8,431 × 8,431
  4. Step 4: Simplify right side
    4,571x = 71,081,761
  5. Step 5: Solve for x
    x = 71,081,761/4,571
  6. Step 6: Final answer
    x = 15,550.59

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.