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Finding the Third Proportional to 12,268.97 and 18,495.84

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Solution

The third proportional to 12,268.97 and 18,495.84 is: 27,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.97 : 18,495.84 = 18,495.84 : x
  2. Step 2: Convert to fraction form
    12,268.97/18,495.84 = 18,495.84/x
  3. Step 3: Cross multiply
    12,268.97x = 18,495.84 × 18,495.84
  4. Step 4: Simplify right side
    12,268.97x = 342,096,236.02
  5. Step 5: Solve for x
    x = 342,096,236.02/12,268.97
  6. Step 6: Final answer
    x = 27,883.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.