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Finding the Third Proportional to 11,496.94 and 12,651.19

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Solution

The third proportional to 11,496.94 and 12,651.19 is: 13,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.94 : 12,651.19 = 12,651.19 : x
  2. Step 2: Convert to fraction form
    11,496.94/12,651.19 = 12,651.19/x
  3. Step 3: Cross multiply
    11,496.94x = 12,651.19 × 12,651.19
  4. Step 4: Simplify right side
    11,496.94x = 160,052,545.16
  5. Step 5: Solve for x
    x = 160,052,545.16/11,496.94
  6. Step 6: Final answer
    x = 13,921.32

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.