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Finding the Third Proportional to 23,761.50 and 36,788.25

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Solution

The third proportional to 23,761.50 and 36,788.25 is: 56,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.50 : 36,788.25 = 36,788.25 : x
  2. Step 2: Convert to fraction form
    23,761.50/36,788.25 = 36,788.25/x
  3. Step 3: Cross multiply
    23,761.50x = 36,788.25 × 36,788.25
  4. Step 4: Simplify right side
    23,761.50x = 1,353,375,338.06
  5. Step 5: Solve for x
    x = 1,353,375,338.06/23,761.50
  6. Step 6: Final answer
    x = 56,956.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.