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Finding the Third Proportional to 16,400.50 and 35,879

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Solution

The third proportional to 16,400.50 and 35,879 is: 78,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.50 : 35,879 = 35,879 : x
  2. Step 2: Convert to fraction form
    16,400.50/35,879 = 35,879/x
  3. Step 3: Cross multiply
    16,400.50x = 35,879 × 35,879
  4. Step 4: Simplify right side
    16,400.50x = 1,287,302,641
  5. Step 5: Solve for x
    x = 1,287,302,641/16,400.50
  6. Step 6: Final answer
    x = 78,491.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.