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Finding the Third Proportional to 6,447.09 and 13,977.56

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Solution

The third proportional to 6,447.09 and 13,977.56 is: 30,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.09 : 13,977.56 = 13,977.56 : x
  2. Step 2: Convert to fraction form
    6,447.09/13,977.56 = 13,977.56/x
  3. Step 3: Cross multiply
    6,447.09x = 13,977.56 × 13,977.56
  4. Step 4: Simplify right side
    6,447.09x = 195,372,253.44
  5. Step 5: Solve for x
    x = 195,372,253.44/6,447.09
  6. Step 6: Final answer
    x = 30,303.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.