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Finding the Third Proportional to 5,928.19 and 13,724.44

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Solution

The third proportional to 5,928.19 and 13,724.44 is: 31,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.19 : 13,724.44 = 13,724.44 : x
  2. Step 2: Convert to fraction form
    5,928.19/13,724.44 = 13,724.44/x
  3. Step 3: Cross multiply
    5,928.19x = 13,724.44 × 13,724.44
  4. Step 4: Simplify right side
    5,928.19x = 188,360,184.69
  5. Step 5: Solve for x
    x = 188,360,184.69/5,928.19
  6. Step 6: Final answer
    x = 31,773.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.