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Finding the Third Proportional to 6,472.41 and 13,967.44

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Solution

The third proportional to 6,472.41 and 13,967.44 is: 30,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.41 : 13,967.44 = 13,967.44 : x
  2. Step 2: Convert to fraction form
    6,472.41/13,967.44 = 13,967.44/x
  3. Step 3: Cross multiply
    6,472.41x = 13,967.44 × 13,967.44
  4. Step 4: Simplify right side
    6,472.41x = 195,089,310.32
  5. Step 5: Solve for x
    x = 195,089,310.32/6,472.41
  6. Step 6: Final answer
    x = 30,141.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.