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Finding the Third Proportional to 5,290.88 and 11,285.44

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Solution

The third proportional to 5,290.88 and 11,285.44 is: 24,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.88 : 11,285.44 = 11,285.44 : x
  2. Step 2: Convert to fraction form
    5,290.88/11,285.44 = 11,285.44/x
  3. Step 3: Cross multiply
    5,290.88x = 11,285.44 × 11,285.44
  4. Step 4: Simplify right side
    5,290.88x = 127,361,099.57
  5. Step 5: Solve for x
    x = 127,361,099.57/5,290.88
  6. Step 6: Final answer
    x = 24,071.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.