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Finding the Third Proportional to 9,644.06 and 19,556.44

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Solution

The third proportional to 9,644.06 and 19,556.44 is: 39,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.06 : 19,556.44 = 19,556.44 : x
  2. Step 2: Convert to fraction form
    9,644.06/19,556.44 = 19,556.44/x
  3. Step 3: Cross multiply
    9,644.06x = 19,556.44 × 19,556.44
  4. Step 4: Simplify right side
    9,644.06x = 382,454,247.69
  5. Step 5: Solve for x
    x = 382,454,247.69/9,644.06
  6. Step 6: Final answer
    x = 39,656.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.