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Finding the Third Proportional to 4,052.25 and 11,021.63

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Solution

The third proportional to 4,052.25 and 11,021.63 is: 29,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.25 : 11,021.63 = 11,021.63 : x
  2. Step 2: Convert to fraction form
    4,052.25/11,021.63 = 11,021.63/x
  3. Step 3: Cross multiply
    4,052.25x = 11,021.63 × 11,021.63
  4. Step 4: Simplify right side
    4,052.25x = 121,476,217.64
  5. Step 5: Solve for x
    x = 121,476,217.64/4,052.25
  6. Step 6: Final answer
    x = 29,977.47

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.