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Finding the Third Proportional to 7,789.50 and 16,827

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Solution

The third proportional to 7,789.50 and 16,827 is: 36,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.50 : 16,827 = 16,827 : x
  2. Step 2: Convert to fraction form
    7,789.50/16,827 = 16,827/x
  3. Step 3: Cross multiply
    7,789.50x = 16,827 × 16,827
  4. Step 4: Simplify right side
    7,789.50x = 283,147,929
  5. Step 5: Solve for x
    x = 283,147,929/7,789.50
  6. Step 6: Final answer
    x = 36,349.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.