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Finding the Third Proportional to 6,268 and 13,062

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Solution

The third proportional to 6,268 and 13,062 is: 27,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268 : 13,062 = 13,062 : x
  2. Step 2: Convert to fraction form
    6,268/13,062 = 13,062/x
  3. Step 3: Cross multiply
    6,268x = 13,062 × 13,062
  4. Step 4: Simplify right side
    6,268x = 170,615,844
  5. Step 5: Solve for x
    x = 170,615,844/6,268
  6. Step 6: Final answer
    x = 27,220.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.