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Finding the Third Proportional to 12,268 and 15,938

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Solution

The third proportional to 12,268 and 15,938 is: 20,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268 : 15,938 = 15,938 : x
  2. Step 2: Convert to fraction form
    12,268/15,938 = 15,938/x
  3. Step 3: Cross multiply
    12,268x = 15,938 × 15,938
  4. Step 4: Simplify right side
    12,268x = 254,019,844
  5. Step 5: Solve for x
    x = 254,019,844/12,268
  6. Step 6: Final answer
    x = 20,705.89

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.