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Finding the Third Proportional to 2,106.75 and 4,152.75

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Solution

The third proportional to 2,106.75 and 4,152.75 is: 8,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.75 : 4,152.75 = 4,152.75 : x
  2. Step 2: Convert to fraction form
    2,106.75/4,152.75 = 4,152.75/x
  3. Step 3: Cross multiply
    2,106.75x = 4,152.75 × 4,152.75
  4. Step 4: Simplify right side
    2,106.75x = 17,245,332.56
  5. Step 5: Solve for x
    x = 17,245,332.56/2,106.75
  6. Step 6: Final answer
    x = 8,185.75

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.