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Finding the Third Proportional to 6,449.25 and 14,113.31

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Solution

The third proportional to 6,449.25 and 14,113.31 is: 30,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.25 : 14,113.31 = 14,113.31 : x
  2. Step 2: Convert to fraction form
    6,449.25/14,113.31 = 14,113.31/x
  3. Step 3: Cross multiply
    6,449.25x = 14,113.31 × 14,113.31
  4. Step 4: Simplify right side
    6,449.25x = 199,185,589.72
  5. Step 5: Solve for x
    x = 199,185,589.72/6,449.25
  6. Step 6: Final answer
    x = 30,885.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.