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Finding the Third Proportional to 8,646.75 and 16,822.69

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Solution

The third proportional to 8,646.75 and 16,822.69 is: 32,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.75 : 16,822.69 = 16,822.69 : x
  2. Step 2: Convert to fraction form
    8,646.75/16,822.69 = 16,822.69/x
  3. Step 3: Cross multiply
    8,646.75x = 16,822.69 × 16,822.69
  4. Step 4: Simplify right side
    8,646.75x = 283,002,814.72
  5. Step 5: Solve for x
    x = 283,002,814.72/8,646.75
  6. Step 6: Final answer
    x = 32,729.39

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