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Finding the Third Proportional to 7,832.95 and 17,226.42

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Solution

The third proportional to 7,832.95 and 17,226.42 is: 37,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.95 : 17,226.42 = 17,226.42 : x
  2. Step 2: Convert to fraction form
    7,832.95/17,226.42 = 17,226.42/x
  3. Step 3: Cross multiply
    7,832.95x = 17,226.42 × 17,226.42
  4. Step 4: Simplify right side
    7,832.95x = 296,749,610.62
  5. Step 5: Solve for x
    x = 296,749,610.62/7,832.95
  6. Step 6: Final answer
    x = 37,884.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.