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Finding the Third Proportional to 6,294 and 13,794

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Solution

The third proportional to 6,294 and 13,794 is: 30,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294 : 13,794 = 13,794 : x
  2. Step 2: Convert to fraction form
    6,294/13,794 = 13,794/x
  3. Step 3: Cross multiply
    6,294x = 13,794 × 13,794
  4. Step 4: Simplify right side
    6,294x = 190,274,436
  5. Step 5: Solve for x
    x = 190,274,436/6,294
  6. Step 6: Final answer
    x = 30,231.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.