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Finding the Third Proportional to 7,694 and 9,857

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Solution

The third proportional to 7,694 and 9,857 is: 12,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694 : 9,857 = 9,857 : x
  2. Step 2: Convert to fraction form
    7,694/9,857 = 9,857/x
  3. Step 3: Cross multiply
    7,694x = 9,857 × 9,857
  4. Step 4: Simplify right side
    7,694x = 97,160,449
  5. Step 5: Solve for x
    x = 97,160,449/7,694
  6. Step 6: Final answer
    x = 12,628.08

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.