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Finding the Third Proportional to 5,403.94 and 11,074.78

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Solution

The third proportional to 5,403.94 and 11,074.78 is: 22,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.94 : 11,074.78 = 11,074.78 : x
  2. Step 2: Convert to fraction form
    5,403.94/11,074.78 = 11,074.78/x
  3. Step 3: Cross multiply
    5,403.94x = 11,074.78 × 11,074.78
  4. Step 4: Simplify right side
    5,403.94x = 122,650,779.74
  5. Step 5: Solve for x
    x = 122,650,779.74/5,403.94
  6. Step 6: Final answer
    x = 22,696.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.