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Finding the Third Proportional to 12,167.25 and 17,772

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Solution

The third proportional to 12,167.25 and 17,772 is: 25,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.25 : 17,772 = 17,772 : x
  2. Step 2: Convert to fraction form
    12,167.25/17,772 = 17,772/x
  3. Step 3: Cross multiply
    12,167.25x = 17,772 × 17,772
  4. Step 4: Simplify right side
    12,167.25x = 315,843,984
  5. Step 5: Solve for x
    x = 315,843,984/12,167.25
  6. Step 6: Final answer
    x = 25,958.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.