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Finding the Third Proportional to 12,153.80 and 17,268.19

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Solution

The third proportional to 12,153.80 and 17,268.19 is: 24,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.80 : 17,268.19 = 17,268.19 : x
  2. Step 2: Convert to fraction form
    12,153.80/17,268.19 = 17,268.19/x
  3. Step 3: Cross multiply
    12,153.80x = 17,268.19 × 17,268.19
  4. Step 4: Simplify right side
    12,153.80x = 298,190,299.54
  5. Step 5: Solve for x
    x = 298,190,299.54/12,153.80
  6. Step 6: Final answer
    x = 24,534.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.