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Finding the Third Proportional to 9,164 and 13,921

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Solution

The third proportional to 9,164 and 13,921 is: 21,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164 : 13,921 = 13,921 : x
  2. Step 2: Convert to fraction form
    9,164/13,921 = 13,921/x
  3. Step 3: Cross multiply
    9,164x = 13,921 × 13,921
  4. Step 4: Simplify right side
    9,164x = 193,794,241
  5. Step 5: Solve for x
    x = 193,794,241/9,164
  6. Step 6: Final answer
    x = 21,147.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.