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Finding the Third Proportional to 9,284.07 and 14,382.09

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Solution

The third proportional to 9,284.07 and 14,382.09 is: 22,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.07 : 14,382.09 = 14,382.09 : x
  2. Step 2: Convert to fraction form
    9,284.07/14,382.09 = 14,382.09/x
  3. Step 3: Cross multiply
    9,284.07x = 14,382.09 × 14,382.09
  4. Step 4: Simplify right side
    9,284.07x = 206,844,452.09
  5. Step 5: Solve for x
    x = 206,844,452.09/9,284.07
  6. Step 6: Final answer
    x = 22,279.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.