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Finding the Third Proportional to 16,129.50 and 32,907

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Solution

The third proportional to 16,129.50 and 32,907 is: 67,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.50 : 32,907 = 32,907 : x
  2. Step 2: Convert to fraction form
    16,129.50/32,907 = 32,907/x
  3. Step 3: Cross multiply
    16,129.50x = 32,907 × 32,907
  4. Step 4: Simplify right side
    16,129.50x = 1,082,870,649
  5. Step 5: Solve for x
    x = 1,082,870,649/16,129.50
  6. Step 6: Final answer
    x = 67,136.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.