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Finding the Third Proportional to 6,297.75 and 10,661.63

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Solution

The third proportional to 6,297.75 and 10,661.63 is: 18,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.75 : 10,661.63 = 10,661.63 : x
  2. Step 2: Convert to fraction form
    6,297.75/10,661.63 = 10,661.63/x
  3. Step 3: Cross multiply
    6,297.75x = 10,661.63 × 10,661.63
  4. Step 4: Simplify right side
    6,297.75x = 113,670,247.64
  5. Step 5: Solve for x
    x = 113,670,247.64/6,297.75
  6. Step 6: Final answer
    x = 18,049.34

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.