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Finding the Third Proportional to 5,567.25 and 11,361.38

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Solution

The third proportional to 5,567.25 and 11,361.38 is: 23,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.25 : 11,361.38 = 11,361.38 : x
  2. Step 2: Convert to fraction form
    5,567.25/11,361.38 = 11,361.38/x
  3. Step 3: Cross multiply
    5,567.25x = 11,361.38 × 11,361.38
  4. Step 4: Simplify right side
    5,567.25x = 129,080,841.89
  5. Step 5: Solve for x
    x = 129,080,841.89/5,567.25
  6. Step 6: Final answer
    x = 23,185.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.