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Finding the Third Proportional to 12,954 and 18,337.50

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Solution

The third proportional to 12,954 and 18,337.50 is: 25,958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954 : 18,337.50 = 18,337.50 : x
  2. Step 2: Convert to fraction form
    12,954/18,337.50 = 18,337.50/x
  3. Step 3: Cross multiply
    12,954x = 18,337.50 × 18,337.50
  4. Step 4: Simplify right side
    12,954x = 336,263,906.25
  5. Step 5: Solve for x
    x = 336,263,906.25/12,954
  6. Step 6: Final answer
    x = 25,958.31

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.