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Finding the Third Proportional to 9,164 and 19,150

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Solution

The third proportional to 9,164 and 19,150 is: 40,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164 : 19,150 = 19,150 : x
  2. Step 2: Convert to fraction form
    9,164/19,150 = 19,150/x
  3. Step 3: Cross multiply
    9,164x = 19,150 × 19,150
  4. Step 4: Simplify right side
    9,164x = 366,722,500
  5. Step 5: Solve for x
    x = 366,722,500/9,164
  6. Step 6: Final answer
    x = 40,017.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.