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Finding the Third Proportional to 16,296.75 and 39,246.63

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Solution

The third proportional to 16,296.75 and 39,246.63 is: 94,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296.75 : 39,246.63 = 39,246.63 : x
  2. Step 2: Convert to fraction form
    16,296.75/39,246.63 = 39,246.63/x
  3. Step 3: Cross multiply
    16,296.75x = 39,246.63 × 39,246.63
  4. Step 4: Simplify right side
    16,296.75x = 1,540,297,573.89
  5. Step 5: Solve for x
    x = 1,540,297,573.89/16,296.75
  6. Step 6: Final answer
    x = 94,515.63

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.