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Finding the Third Proportional to 13,549.36 and 20,852.44

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Solution

The third proportional to 13,549.36 and 20,852.44 is: 32,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.36 : 20,852.44 = 20,852.44 : x
  2. Step 2: Convert to fraction form
    13,549.36/20,852.44 = 20,852.44/x
  3. Step 3: Cross multiply
    13,549.36x = 20,852.44 × 20,852.44
  4. Step 4: Simplify right side
    13,549.36x = 434,824,149.69
  5. Step 5: Solve for x
    x = 434,824,149.69/13,549.36
  6. Step 6: Final answer
    x = 32,091.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.