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Finding the Third Proportional to 8,284.50 and 16,143.75

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Solution

The third proportional to 8,284.50 and 16,143.75 is: 31,458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.50 : 16,143.75 = 16,143.75 : x
  2. Step 2: Convert to fraction form
    8,284.50/16,143.75 = 16,143.75/x
  3. Step 3: Cross multiply
    8,284.50x = 16,143.75 × 16,143.75
  4. Step 4: Simplify right side
    8,284.50x = 260,620,664.06
  5. Step 5: Solve for x
    x = 260,620,664.06/8,284.50
  6. Step 6: Final answer
    x = 31,458.83

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.