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Finding the Third Proportional to 11,496.94 and 16,269.19

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Solution

The third proportional to 11,496.94 and 16,269.19 is: 23,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.94 : 16,269.19 = 16,269.19 : x
  2. Step 2: Convert to fraction form
    11,496.94/16,269.19 = 16,269.19/x
  3. Step 3: Cross multiply
    11,496.94x = 16,269.19 × 16,269.19
  4. Step 4: Simplify right side
    11,496.94x = 264,686,461.91
  5. Step 5: Solve for x
    x = 264,686,461.91/11,496.94
  6. Step 6: Final answer
    x = 23,022.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.