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Finding the Third Proportional to 11,414.25 and 16,289.63

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Solution

The third proportional to 11,414.25 and 16,289.63 is: 23,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.25 : 16,289.63 = 16,289.63 : x
  2. Step 2: Convert to fraction form
    11,414.25/16,289.63 = 16,289.63/x
  3. Step 3: Cross multiply
    11,414.25x = 16,289.63 × 16,289.63
  4. Step 4: Simplify right side
    11,414.25x = 265,351,882.64
  5. Step 5: Solve for x
    x = 265,351,882.64/11,414.25
  6. Step 6: Final answer
    x = 23,247.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.