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Finding the Third Proportional to 6,136.88 and 9,467.44

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Solution

The third proportional to 6,136.88 and 9,467.44 is: 14,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.88 : 9,467.44 = 9,467.44 : x
  2. Step 2: Convert to fraction form
    6,136.88/9,467.44 = 9,467.44/x
  3. Step 3: Cross multiply
    6,136.88x = 9,467.44 × 9,467.44
  4. Step 4: Simplify right side
    6,136.88x = 89,632,372.82
  5. Step 5: Solve for x
    x = 89,632,372.82/6,136.88
  6. Step 6: Final answer
    x = 14,605.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.