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Finding the Third Proportional to 3,709.64 and 7,556.48

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Solution

The third proportional to 3,709.64 and 7,556.48 is: 15,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.64 : 7,556.48 = 7,556.48 : x
  2. Step 2: Convert to fraction form
    3,709.64/7,556.48 = 7,556.48/x
  3. Step 3: Cross multiply
    3,709.64x = 7,556.48 × 7,556.48
  4. Step 4: Simplify right side
    3,709.64x = 57,100,456.11
  5. Step 5: Solve for x
    x = 57,100,456.11/3,709.64
  6. Step 6: Final answer
    x = 15,392.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.