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Finding the Third Proportional to 6,783 and 16,336

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Solution

The third proportional to 6,783 and 16,336 is: 39,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783 : 16,336 = 16,336 : x
  2. Step 2: Convert to fraction form
    6,783/16,336 = 16,336/x
  3. Step 3: Cross multiply
    6,783x = 16,336 × 16,336
  4. Step 4: Simplify right side
    6,783x = 266,864,896
  5. Step 5: Solve for x
    x = 266,864,896/6,783
  6. Step 6: Final answer
    x = 39,343.20

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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.