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Finding the Third Proportional to 4,245.14 and 6,597.31

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Solution

The third proportional to 4,245.14 and 6,597.31 is: 10,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245.14 : 6,597.31 = 6,597.31 : x
  2. Step 2: Convert to fraction form
    4,245.14/6,597.31 = 6,597.31/x
  3. Step 3: Cross multiply
    4,245.14x = 6,597.31 × 6,597.31
  4. Step 4: Simplify right side
    4,245.14x = 43,524,467.80
  5. Step 5: Solve for x
    x = 43,524,467.80/4,245.14
  6. Step 6: Final answer
    x = 10,252.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.