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Finding the Third Proportional to 11,496.94 and 18,414.84

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Solution

The third proportional to 11,496.94 and 18,414.84 is: 29,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.94 : 18,414.84 = 18,414.84 : x
  2. Step 2: Convert to fraction form
    11,496.94/18,414.84 = 18,414.84/x
  3. Step 3: Cross multiply
    11,496.94x = 18,414.84 × 18,414.84
  4. Step 4: Simplify right side
    11,496.94x = 339,106,470.34
  5. Step 5: Solve for x
    x = 339,106,470.34/11,496.94
  6. Step 6: Final answer
    x = 29,495.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.