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Finding the Third Proportional to 9,091.62 and 13,284.79

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Solution

The third proportional to 9,091.62 and 13,284.79 is: 19,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.62 : 13,284.79 = 13,284.79 : x
  2. Step 2: Convert to fraction form
    9,091.62/13,284.79 = 13,284.79/x
  3. Step 3: Cross multiply
    9,091.62x = 13,284.79 × 13,284.79
  4. Step 4: Simplify right side
    9,091.62x = 176,485,672.33
  5. Step 5: Solve for x
    x = 176,485,672.33/9,091.62
  6. Step 6: Final answer
    x = 19,411.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.