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Finding the Third Proportional to 6,268 and 13,157

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Solution

The third proportional to 6,268 and 13,157 is: 27,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268 : 13,157 = 13,157 : x
  2. Step 2: Convert to fraction form
    6,268/13,157 = 13,157/x
  3. Step 3: Cross multiply
    6,268x = 13,157 × 13,157
  4. Step 4: Simplify right side
    6,268x = 173,106,649
  5. Step 5: Solve for x
    x = 173,106,649/6,268
  6. Step 6: Final answer
    x = 27,617.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.