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Finding the Third Proportional to 9,166 and 18,686

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Solution

The third proportional to 9,166 and 18,686 is: 38,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166 : 18,686 = 18,686 : x
  2. Step 2: Convert to fraction form
    9,166/18,686 = 18,686/x
  3. Step 3: Cross multiply
    9,166x = 18,686 × 18,686
  4. Step 4: Simplify right side
    9,166x = 349,166,596
  5. Step 5: Solve for x
    x = 349,166,596/9,166
  6. Step 6: Final answer
    x = 38,093.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.