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Finding the Third Proportional to 7,431.75 and 11,194.88

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Solution

The third proportional to 7,431.75 and 11,194.88 is: 16,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.75 : 11,194.88 = 11,194.88 : x
  2. Step 2: Convert to fraction form
    7,431.75/11,194.88 = 11,194.88/x
  3. Step 3: Cross multiply
    7,431.75x = 11,194.88 × 11,194.88
  4. Step 4: Simplify right side
    7,431.75x = 125,325,226.27
  5. Step 5: Solve for x
    x = 125,325,226.27/7,431.75
  6. Step 6: Final answer
    x = 16,863.49

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1.5x scale

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.