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Finding the Third Proportional to 5,794.03 and 11,528.26

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Solution

The third proportional to 5,794.03 and 11,528.26 is: 22,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.03 : 11,528.26 = 11,528.26 : x
  2. Step 2: Convert to fraction form
    5,794.03/11,528.26 = 11,528.26/x
  3. Step 3: Cross multiply
    5,794.03x = 11,528.26 × 11,528.26
  4. Step 4: Simplify right side
    5,794.03x = 132,900,818.26
  5. Step 5: Solve for x
    x = 132,900,818.26/5,794.03
  6. Step 6: Final answer
    x = 22,937.54

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.