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Finding the Third Proportional to 2,763.70 and 4,106.95

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Solution

The third proportional to 2,763.70 and 4,106.95 is: 6,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.70 : 4,106.95 = 4,106.95 : x
  2. Step 2: Convert to fraction form
    2,763.70/4,106.95 = 4,106.95/x
  3. Step 3: Cross multiply
    2,763.70x = 4,106.95 × 4,106.95
  4. Step 4: Simplify right side
    2,763.70x = 16,867,063.97
  5. Step 5: Solve for x
    x = 16,867,063.97/2,763.70
  6. Step 6: Final answer
    x = 6,103.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.