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Finding the Third Proportional to 11,684.25 and 16,394.91

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Solution

The third proportional to 11,684.25 and 16,394.91 is: 23,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.25 : 16,394.91 = 16,394.91 : x
  2. Step 2: Convert to fraction form
    11,684.25/16,394.91 = 16,394.91/x
  3. Step 3: Cross multiply
    11,684.25x = 16,394.91 × 16,394.91
  4. Step 4: Simplify right side
    11,684.25x = 268,792,950.95
  5. Step 5: Solve for x
    x = 268,792,950.95/11,684.25
  6. Step 6: Final answer
    x = 23,004.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.