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Finding the Third Proportional to 5,234.63 and 9,230.63

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Solution

The third proportional to 5,234.63 and 9,230.63 is: 16,277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.63 : 9,230.63 = 9,230.63 : x
  2. Step 2: Convert to fraction form
    5,234.63/9,230.63 = 9,230.63/x
  3. Step 3: Cross multiply
    5,234.63x = 9,230.63 × 9,230.63
  4. Step 4: Simplify right side
    5,234.63x = 85,204,437.89
  5. Step 5: Solve for x
    x = 85,204,437.89/5,234.63
  6. Step 6: Final answer
    x = 16,277.09

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.