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Finding the Third Proportional to 16,296.19 and 35,290.69

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Solution

The third proportional to 16,296.19 and 35,290.69 is: 76,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296.19 : 35,290.69 = 35,290.69 : x
  2. Step 2: Convert to fraction form
    16,296.19/35,290.69 = 35,290.69/x
  3. Step 3: Cross multiply
    16,296.19x = 35,290.69 × 35,290.69
  4. Step 4: Simplify right side
    16,296.19x = 1,245,432,624.22
  5. Step 5: Solve for x
    x = 1,245,432,624.22/16,296.19
  6. Step 6: Final answer
    x = 76,424.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.