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Finding the Third Proportional to 9,164 and 13,794

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Solution

The third proportional to 9,164 and 13,794 is: 20,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164 : 13,794 = 13,794 : x
  2. Step 2: Convert to fraction form
    9,164/13,794 = 13,794/x
  3. Step 3: Cross multiply
    9,164x = 13,794 × 13,794
  4. Step 4: Simplify right side
    9,164x = 190,274,436
  5. Step 5: Solve for x
    x = 190,274,436/9,164
  6. Step 6: Final answer
    x = 20,763.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.