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Finding the Third Proportional to 3,559 and 8,431

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Solution

The third proportional to 3,559 and 8,431 is: 19,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559 : 8,431 = 8,431 : x
  2. Step 2: Convert to fraction form
    3,559/8,431 = 8,431/x
  3. Step 3: Cross multiply
    3,559x = 8,431 × 8,431
  4. Step 4: Simplify right side
    3,559x = 71,081,761
  5. Step 5: Solve for x
    x = 71,081,761/3,559
  6. Step 6: Final answer
    x = 19,972.40

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.