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Finding the Third Proportional to 8,383.50 and 16,515.56

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Solution

The third proportional to 8,383.50 and 16,515.56 is: 32,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.50 : 16,515.56 = 16,515.56 : x
  2. Step 2: Convert to fraction form
    8,383.50/16,515.56 = 16,515.56/x
  3. Step 3: Cross multiply
    8,383.50x = 16,515.56 × 16,515.56
  4. Step 4: Simplify right side
    8,383.50x = 272,763,804.69
  5. Step 5: Solve for x
    x = 272,763,804.69/8,383.50
  6. Step 6: Final answer
    x = 32,535.79

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.