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Finding the Third Proportional to 11,151.63 and 16,419.41

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Solution

The third proportional to 11,151.63 and 16,419.41 is: 24,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.63 : 16,419.41 = 16,419.41 : x
  2. Step 2: Convert to fraction form
    11,151.63/16,419.41 = 16,419.41/x
  3. Step 3: Cross multiply
    11,151.63x = 16,419.41 × 16,419.41
  4. Step 4: Simplify right side
    11,151.63x = 269,597,029.88
  5. Step 5: Solve for x
    x = 269,597,029.88/11,151.63
  6. Step 6: Final answer
    x = 24,175.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.