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Finding the Third Proportional to 2,208.36 and 4,826.78

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Solution

The third proportional to 2,208.36 and 4,826.78 is: 10,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.36 : 4,826.78 = 4,826.78 : x
  2. Step 2: Convert to fraction form
    2,208.36/4,826.78 = 4,826.78/x
  3. Step 3: Cross multiply
    2,208.36x = 4,826.78 × 4,826.78
  4. Step 4: Simplify right side
    2,208.36x = 23,297,779.53
  5. Step 5: Solve for x
    x = 23,297,779.53/2,208.36
  6. Step 6: Final answer
    x = 10,549.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.