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Finding the Third Proportional to 2,106 and 3,169.13

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Solution

The third proportional to 2,106 and 3,169.13 is: 4,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106 : 3,169.13 = 3,169.13 : x
  2. Step 2: Convert to fraction form
    2,106/3,169.13 = 3,169.13/x
  3. Step 3: Cross multiply
    2,106x = 3,169.13 × 3,169.13
  4. Step 4: Simplify right side
    2,106x = 10,043,353.27
  5. Step 5: Solve for x
    x = 10,043,353.27/2,106
  6. Step 6: Final answer
    x = 4,768.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.