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Finding the Third Proportional to 5,382.07 and 11,763.67

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Solution

The third proportional to 5,382.07 and 11,763.67 is: 25,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.07 : 11,763.67 = 11,763.67 : x
  2. Step 2: Convert to fraction form
    5,382.07/11,763.67 = 11,763.67/x
  3. Step 3: Cross multiply
    5,382.07x = 11,763.67 × 11,763.67
  4. Step 4: Simplify right side
    5,382.07x = 138,383,884.08
  5. Step 5: Solve for x
    x = 138,383,884.08/5,382.07
  6. Step 6: Final answer
    x = 25,712.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.