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Finding the Third Proportional to 16,309.69 and 35,317.69

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Solution

The third proportional to 16,309.69 and 35,317.69 is: 76,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.69 : 35,317.69 = 35,317.69 : x
  2. Step 2: Convert to fraction form
    16,309.69/35,317.69 = 35,317.69/x
  3. Step 3: Cross multiply
    16,309.69x = 35,317.69 × 35,317.69
  4. Step 4: Simplify right side
    16,309.69x = 1,247,339,050.35
  5. Step 5: Solve for x
    x = 1,247,339,050.35/16,309.69
  6. Step 6: Final answer
    x = 76,478.42

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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.