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Finding the Third Proportional to 9,288 and 20,268.56

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Solution

The third proportional to 9,288 and 20,268.56 is: 44,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288 : 20,268.56 = 20,268.56 : x
  2. Step 2: Convert to fraction form
    9,288/20,268.56 = 20,268.56/x
  3. Step 3: Cross multiply
    9,288x = 20,268.56 × 20,268.56
  4. Step 4: Simplify right side
    9,288x = 410,814,625.82
  5. Step 5: Solve for x
    x = 410,814,625.82/9,288
  6. Step 6: Final answer
    x = 44,230.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.