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Finding the Third Proportional to 6,268.64 and 13,921.24

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Solution

The third proportional to 6,268.64 and 13,921.24 is: 30,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.64 : 13,921.24 = 13,921.24 : x
  2. Step 2: Convert to fraction form
    6,268.64/13,921.24 = 13,921.24/x
  3. Step 3: Cross multiply
    6,268.64x = 13,921.24 × 13,921.24
  4. Step 4: Simplify right side
    6,268.64x = 193,800,984.04
  5. Step 5: Solve for x
    x = 193,800,984.04/6,268.64
  6. Step 6: Final answer
    x = 30,915.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.