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Finding the Third Proportional to 5,604.19 and 11,789.30

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Solution

The third proportional to 5,604.19 and 11,789.30 is: 24,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.19 : 11,789.30 = 11,789.30 : x
  2. Step 2: Convert to fraction form
    5,604.19/11,789.30 = 11,789.30/x
  3. Step 3: Cross multiply
    5,604.19x = 11,789.30 × 11,789.30
  4. Step 4: Simplify right side
    5,604.19x = 138,987,520.81
  5. Step 5: Solve for x
    x = 138,987,520.81/5,604.19
  6. Step 6: Final answer
    x = 24,800.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.