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Finding the Third Proportional to 3,852.56 and 8,388.56

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Solution

The third proportional to 3,852.56 and 8,388.56 is: 18,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.56 : 8,388.56 = 8,388.56 : x
  2. Step 2: Convert to fraction form
    3,852.56/8,388.56 = 8,388.56/x
  3. Step 3: Cross multiply
    3,852.56x = 8,388.56 × 8,388.56
  4. Step 4: Simplify right side
    3,852.56x = 70,367,980.82
  5. Step 5: Solve for x
    x = 70,367,980.82/3,852.56
  6. Step 6: Final answer
    x = 18,265.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.