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Finding the Third Proportional to 7,077 and 9,390

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Solution

The third proportional to 7,077 and 9,390 is: 12,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077 : 9,390 = 9,390 : x
  2. Step 2: Convert to fraction form
    7,077/9,390 = 9,390/x
  3. Step 3: Cross multiply
    7,077x = 9,390 × 9,390
  4. Step 4: Simplify right side
    7,077x = 88,172,100
  5. Step 5: Solve for x
    x = 88,172,100/7,077
  6. Step 6: Final answer
    x = 12,458.97

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.