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Finding the Third Proportional to 11,628.56 and 16,794.84

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Solution

The third proportional to 11,628.56 and 16,794.84 is: 24,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.56 : 16,794.84 = 16,794.84 : x
  2. Step 2: Convert to fraction form
    11,628.56/16,794.84 = 16,794.84/x
  3. Step 3: Cross multiply
    11,628.56x = 16,794.84 × 16,794.84
  4. Step 4: Simplify right side
    11,628.56x = 282,066,776.59
  5. Step 5: Solve for x
    x = 282,066,776.59/11,628.56
  6. Step 6: Final answer
    x = 24,256.38

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.