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Finding the Third Proportional to 24,583.50 and 36,861.75

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Solution

The third proportional to 24,583.50 and 36,861.75 is: 55,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,583.50 : 36,861.75 = 36,861.75 : x
  2. Step 2: Convert to fraction form
    24,583.50/36,861.75 = 36,861.75/x
  3. Step 3: Cross multiply
    24,583.50x = 36,861.75 × 36,861.75
  4. Step 4: Simplify right side
    24,583.50x = 1,358,788,613.06
  5. Step 5: Solve for x
    x = 1,358,788,613.06/24,583.50
  6. Step 6: Final answer
    x = 55,272.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.