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Finding the Third Proportional to 25,963.50 and 55,167

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Solution

The third proportional to 25,963.50 and 55,167 is: 117,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,963.50 : 55,167 = 55,167 : x
  2. Step 2: Convert to fraction form
    25,963.50/55,167 = 55,167/x
  3. Step 3: Cross multiply
    25,963.50x = 55,167 × 55,167
  4. Step 4: Simplify right side
    25,963.50x = 3,043,397,889
  5. Step 5: Solve for x
    x = 3,043,397,889/25,963.50
  6. Step 6: Final answer
    x = 117,218.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.