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Finding the Third Proportional to 8,047.69 and 8,857.69

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Solution

The third proportional to 8,047.69 and 8,857.69 is: 9,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.69 : 8,857.69 = 8,857.69 : x
  2. Step 2: Convert to fraction form
    8,047.69/8,857.69 = 8,857.69/x
  3. Step 3: Cross multiply
    8,047.69x = 8,857.69 × 8,857.69
  4. Step 4: Simplify right side
    8,047.69x = 78,458,627.85
  5. Step 5: Solve for x
    x = 78,458,627.85/8,047.69
  6. Step 6: Final answer
    x = 9,749.21

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.