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Finding the Third Proportional to 9,245.07 and 13,725.07

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Solution

The third proportional to 9,245.07 and 13,725.07 is: 20,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.07 : 13,725.07 = 13,725.07 : x
  2. Step 2: Convert to fraction form
    9,245.07/13,725.07 = 13,725.07/x
  3. Step 3: Cross multiply
    9,245.07x = 13,725.07 × 13,725.07
  4. Step 4: Simplify right side
    9,245.07x = 188,377,555.08
  5. Step 5: Solve for x
    x = 188,377,555.08/9,245.07
  6. Step 6: Final answer
    x = 20,375.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.