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Finding the Third Proportional to 7,284.94 and 11,919.66

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Solution

The third proportional to 7,284.94 and 11,919.66 is: 19,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.94 : 11,919.66 = 11,919.66 : x
  2. Step 2: Convert to fraction form
    7,284.94/11,919.66 = 11,919.66/x
  3. Step 3: Cross multiply
    7,284.94x = 11,919.66 × 11,919.66
  4. Step 4: Simplify right side
    7,284.94x = 142,078,205.12
  5. Step 5: Solve for x
    x = 142,078,205.12/7,284.94
  6. Step 6: Final answer
    x = 19,503.01

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.