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Finding the Third Proportional to 6,784 and 16,338

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Solution

The third proportional to 6,784 and 16,338 is: 39,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784 : 16,338 = 16,338 : x
  2. Step 2: Convert to fraction form
    6,784/16,338 = 16,338/x
  3. Step 3: Cross multiply
    6,784x = 16,338 × 16,338
  4. Step 4: Simplify right side
    6,784x = 266,930,244
  5. Step 5: Solve for x
    x = 266,930,244/6,784
  6. Step 6: Final answer
    x = 39,347.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.