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Finding the Third Proportional to 28,213.50 and 43,827

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Solution

The third proportional to 28,213.50 and 43,827 is: 68,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,213.50 : 43,827 = 43,827 : x
  2. Step 2: Convert to fraction form
    28,213.50/43,827 = 43,827/x
  3. Step 3: Cross multiply
    28,213.50x = 43,827 × 43,827
  4. Step 4: Simplify right side
    28,213.50x = 1,920,805,929
  5. Step 5: Solve for x
    x = 1,920,805,929/28,213.50
  6. Step 6: Final answer
    x = 68,081.09

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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.