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Finding the Third Proportional to 7,000 and 9,794

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Solution

The third proportional to 7,000 and 9,794 is: 13,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000 : 9,794 = 9,794 : x
  2. Step 2: Convert to fraction form
    7,000/9,794 = 9,794/x
  3. Step 3: Cross multiply
    7,000x = 9,794 × 9,794
  4. Step 4: Simplify right side
    7,000x = 95,922,436
  5. Step 5: Solve for x
    x = 95,922,436/7,000
  6. Step 6: Final answer
    x = 13,703.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.