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Finding the Third Proportional to 5,556.94 and 13,564.97

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Solution

The third proportional to 5,556.94 and 13,564.97 is: 33,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,556.94 : 13,564.97 = 13,564.97 : x
  2. Step 2: Convert to fraction form
    5,556.94/13,564.97 = 13,564.97/x
  3. Step 3: Cross multiply
    5,556.94x = 13,564.97 × 13,564.97
  4. Step 4: Simplify right side
    5,556.94x = 184,008,377.19
  5. Step 5: Solve for x
    x = 184,008,377.19/5,556.94
  6. Step 6: Final answer
    x = 33,113.27

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.