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Finding the Third Proportional to 13,212.28 and 27,297.84

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Solution

The third proportional to 13,212.28 and 27,297.84 is: 56,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.28 : 27,297.84 = 27,297.84 : x
  2. Step 2: Convert to fraction form
    13,212.28/27,297.84 = 27,297.84/x
  3. Step 3: Cross multiply
    13,212.28x = 27,297.84 × 27,297.84
  4. Step 4: Simplify right side
    13,212.28x = 745,172,273.40
  5. Step 5: Solve for x
    x = 745,172,273.40/13,212.28
  6. Step 6: Final answer
    x = 56,399.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.