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Finding the Third Proportional to 9,091.69 and 12,277.69

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Solution

The third proportional to 9,091.69 and 12,277.69 is: 16,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.69 : 12,277.69 = 12,277.69 : x
  2. Step 2: Convert to fraction form
    9,091.69/12,277.69 = 12,277.69/x
  3. Step 3: Cross multiply
    9,091.69x = 12,277.69 × 12,277.69
  4. Step 4: Simplify right side
    9,091.69x = 150,741,610.35
  5. Step 5: Solve for x
    x = 150,741,610.35/9,091.69
  6. Step 6: Final answer
    x = 16,580.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.