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Finding the Third Proportional to 2,806.88 and 4,279.69

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Solution

The third proportional to 2,806.88 and 4,279.69 is: 6,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.88 : 4,279.69 = 4,279.69 : x
  2. Step 2: Convert to fraction form
    2,806.88/4,279.69 = 4,279.69/x
  3. Step 3: Cross multiply
    2,806.88x = 4,279.69 × 4,279.69
  4. Step 4: Simplify right side
    2,806.88x = 18,315,725.10
  5. Step 5: Solve for x
    x = 18,315,725.10/2,806.88
  6. Step 6: Final answer
    x = 6,525.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.