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Finding the Third Proportional to 2,189 and 5,106

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Solution

The third proportional to 2,189 and 5,106 is: 11,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189 : 5,106 = 5,106 : x
  2. Step 2: Convert to fraction form
    2,189/5,106 = 5,106/x
  3. Step 3: Cross multiply
    2,189x = 5,106 × 5,106
  4. Step 4: Simplify right side
    2,189x = 26,071,236
  5. Step 5: Solve for x
    x = 26,071,236/2,189
  6. Step 6: Final answer
    x = 11,910.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.