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Finding the Third Proportional to 11,209.22 and 16,840.41

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Solution

The third proportional to 11,209.22 and 16,840.41 is: 25,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.22 : 16,840.41 = 16,840.41 : x
  2. Step 2: Convert to fraction form
    11,209.22/16,840.41 = 16,840.41/x
  3. Step 3: Cross multiply
    11,209.22x = 16,840.41 × 16,840.41
  4. Step 4: Simplify right side
    11,209.22x = 283,599,282.67
  5. Step 5: Solve for x
    x = 283,599,282.67/11,209.22
  6. Step 6: Final answer
    x = 25,300.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.