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Finding the Third Proportional to 8,474.63 and 17,222.63

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Solution

The third proportional to 8,474.63 and 17,222.63 is: 35,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.63 : 17,222.63 = 17,222.63 : x
  2. Step 2: Convert to fraction form
    8,474.63/17,222.63 = 17,222.63/x
  3. Step 3: Cross multiply
    8,474.63x = 17,222.63 × 17,222.63
  4. Step 4: Simplify right side
    8,474.63x = 296,618,811.89
  5. Step 5: Solve for x
    x = 296,618,811.89/8,474.63
  6. Step 6: Final answer
    x = 35,000.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.