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Finding the Third Proportional to 5,867.44 and 13,742.16

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Solution

The third proportional to 5,867.44 and 13,742.16 is: 32,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.44 : 13,742.16 = 13,742.16 : x
  2. Step 2: Convert to fraction form
    5,867.44/13,742.16 = 13,742.16/x
  3. Step 3: Cross multiply
    5,867.44x = 13,742.16 × 13,742.16
  4. Step 4: Simplify right side
    5,867.44x = 188,846,858.40
  5. Step 5: Solve for x
    x = 188,846,858.40/5,867.44
  6. Step 6: Final answer
    x = 32,185.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.