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Finding the Third Proportional to 12,440.46 and 19,039.43

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Solution

The third proportional to 12,440.46 and 19,039.43 is: 29,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440.46 : 19,039.43 = 19,039.43 : x
  2. Step 2: Convert to fraction form
    12,440.46/19,039.43 = 19,039.43/x
  3. Step 3: Cross multiply
    12,440.46x = 19,039.43 × 19,039.43
  4. Step 4: Simplify right side
    12,440.46x = 362,499,882.83
  5. Step 5: Solve for x
    x = 362,499,882.83/12,440.46
  6. Step 6: Final answer
    x = 29,138.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.