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Finding the Third Proportional to 23,584.50 and 36,196.88

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Solution

The third proportional to 23,584.50 and 36,196.88 is: 55,554.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584.50 : 36,196.88 = 36,196.88 : x
  2. Step 2: Convert to fraction form
    23,584.50/36,196.88 = 36,196.88/x
  3. Step 3: Cross multiply
    23,584.50x = 36,196.88 × 36,196.88
  4. Step 4: Simplify right side
    23,584.50x = 1,310,213,759.77
  5. Step 5: Solve for x
    x = 1,310,213,759.77/23,584.50
  6. Step 6: Final answer
    x = 55,554.02

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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.