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Finding the Third Proportional to 11,054.81 and 16,903.69

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Solution

The third proportional to 11,054.81 and 16,903.69 is: 25,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.81 : 16,903.69 = 16,903.69 : x
  2. Step 2: Convert to fraction form
    11,054.81/16,903.69 = 16,903.69/x
  3. Step 3: Cross multiply
    11,054.81x = 16,903.69 × 16,903.69
  4. Step 4: Simplify right side
    11,054.81x = 285,734,651.10
  5. Step 5: Solve for x
    x = 285,734,651.10/11,054.81
  6. Step 6: Final answer
    x = 25,847.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.