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Finding the Third Proportional to 12,364.50 and 18,956.25

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Solution

The third proportional to 12,364.50 and 18,956.25 is: 29,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.50 : 18,956.25 = 18,956.25 : x
  2. Step 2: Convert to fraction form
    12,364.50/18,956.25 = 18,956.25/x
  3. Step 3: Cross multiply
    12,364.50x = 18,956.25 × 18,956.25
  4. Step 4: Simplify right side
    12,364.50x = 359,339,414.06
  5. Step 5: Solve for x
    x = 359,339,414.06/12,364.50
  6. Step 6: Final answer
    x = 29,062.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.