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Finding the Third Proportional to 6,152.44 and 9,226.69

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Solution

The third proportional to 6,152.44 and 9,226.69 is: 13,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.44 : 9,226.69 = 9,226.69 : x
  2. Step 2: Convert to fraction form
    6,152.44/9,226.69 = 9,226.69/x
  3. Step 3: Cross multiply
    6,152.44x = 9,226.69 × 9,226.69
  4. Step 4: Simplify right side
    6,152.44x = 85,131,762.22
  5. Step 5: Solve for x
    x = 85,131,762.22/6,152.44
  6. Step 6: Final answer
    x = 13,837.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.