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Finding the Third Proportional to 14,936.25 and 20,297.25

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Solution

The third proportional to 14,936.25 and 20,297.25 is: 27,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,936.25 : 20,297.25 = 20,297.25 : x
  2. Step 2: Convert to fraction form
    14,936.25/20,297.25 = 20,297.25/x
  3. Step 3: Cross multiply
    14,936.25x = 20,297.25 × 20,297.25
  4. Step 4: Simplify right side
    14,936.25x = 411,978,357.56
  5. Step 5: Solve for x
    x = 411,978,357.56/14,936.25
  6. Step 6: Final answer
    x = 27,582.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.