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Finding the Third Proportional to 24,583.50 and 52,072.88

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Solution

The third proportional to 24,583.50 and 52,072.88 is: 110,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,583.50 : 52,072.88 = 52,072.88 : x
  2. Step 2: Convert to fraction form
    24,583.50/52,072.88 = 52,072.88/x
  3. Step 3: Cross multiply
    24,583.50x = 52,072.88 × 52,072.88
  4. Step 4: Simplify right side
    24,583.50x = 2,711,584,310.77
  5. Step 5: Solve for x
    x = 2,711,584,310.77/24,583.50
  6. Step 6: Final answer
    x = 110,300.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.