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Finding the Third Proportional to 6,567.75 and 14,250.09

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Solution

The third proportional to 6,567.75 and 14,250.09 is: 30,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.75 : 14,250.09 = 14,250.09 : x
  2. Step 2: Convert to fraction form
    6,567.75/14,250.09 = 14,250.09/x
  3. Step 3: Cross multiply
    6,567.75x = 14,250.09 × 14,250.09
  4. Step 4: Simplify right side
    6,567.75x = 203,065,171.88
  5. Step 5: Solve for x
    x = 203,065,171.88/6,567.75
  6. Step 6: Final answer
    x = 30,918.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.