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Finding the Third Proportional to 13,796.44 and 21,357.84

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Solution

The third proportional to 13,796.44 and 21,357.84 is: 33,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.44 : 21,357.84 = 21,357.84 : x
  2. Step 2: Convert to fraction form
    13,796.44/21,357.84 = 21,357.84/x
  3. Step 3: Cross multiply
    13,796.44x = 21,357.84 × 21,357.84
  4. Step 4: Simplify right side
    13,796.44x = 456,157,489.65
  5. Step 5: Solve for x
    x = 456,157,489.65/13,796.44
  6. Step 6: Final answer
    x = 33,063.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.