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Finding the Third Proportional to 4,189 and 9,106

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Solution

The third proportional to 4,189 and 9,106 is: 19,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 9,106 = 9,106 : x
  2. Step 2: Convert to fraction form
    4,189/9,106 = 9,106/x
  3. Step 3: Cross multiply
    4,189x = 9,106 × 9,106
  4. Step 4: Simplify right side
    4,189x = 82,919,236
  5. Step 5: Solve for x
    x = 82,919,236/4,189
  6. Step 6: Final answer
    x = 19,794.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.