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Finding the Third Proportional to 8,474.63 and 12,792.94

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Solution

The third proportional to 8,474.63 and 12,792.94 is: 19,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.63 : 12,792.94 = 12,792.94 : x
  2. Step 2: Convert to fraction form
    8,474.63/12,792.94 = 12,792.94/x
  3. Step 3: Cross multiply
    8,474.63x = 12,792.94 × 12,792.94
  4. Step 4: Simplify right side
    8,474.63x = 163,659,249.88
  5. Step 5: Solve for x
    x = 163,659,249.88/8,474.63
  6. Step 6: Final answer
    x = 19,311.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.