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Finding the Third Proportional to 5,819.54 and 9,221.24

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Solution

The third proportional to 5,819.54 and 9,221.24 is: 14,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.54 : 9,221.24 = 9,221.24 : x
  2. Step 2: Convert to fraction form
    5,819.54/9,221.24 = 9,221.24/x
  3. Step 3: Cross multiply
    5,819.54x = 9,221.24 × 9,221.24
  4. Step 4: Simplify right side
    5,819.54x = 85,031,357.01
  5. Step 5: Solve for x
    x = 85,031,357.01/5,819.54
  6. Step 6: Final answer
    x = 14,611.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.