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Finding the Third Proportional to 8,431 and 17,101

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Solution

The third proportional to 8,431 and 17,101 is: 34,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431 : 17,101 = 17,101 : x
  2. Step 2: Convert to fraction form
    8,431/17,101 = 17,101/x
  3. Step 3: Cross multiply
    8,431x = 17,101 × 17,101
  4. Step 4: Simplify right side
    8,431x = 292,444,201
  5. Step 5: Solve for x
    x = 292,444,201/8,431
  6. Step 6: Final answer
    x = 34,686.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.