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Finding the Third Proportional to 8,034.19 and 12,438.56

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Solution

The third proportional to 8,034.19 and 12,438.56 is: 19,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.19 : 12,438.56 = 12,438.56 : x
  2. Step 2: Convert to fraction form
    8,034.19/12,438.56 = 12,438.56/x
  3. Step 3: Cross multiply
    8,034.19x = 12,438.56 × 12,438.56
  4. Step 4: Simplify right side
    8,034.19x = 154,717,837.07
  5. Step 5: Solve for x
    x = 154,717,837.07/8,034.19
  6. Step 6: Final answer
    x = 19,257.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.