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Finding the Third Proportional to 4,654 and 8,204

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Solution

The third proportional to 4,654 and 8,204 is: 14,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654 : 8,204 = 8,204 : x
  2. Step 2: Convert to fraction form
    4,654/8,204 = 8,204/x
  3. Step 3: Cross multiply
    4,654x = 8,204 × 8,204
  4. Step 4: Simplify right side
    4,654x = 67,305,616
  5. Step 5: Solve for x
    x = 67,305,616/4,654
  6. Step 6: Final answer
    x = 14,461.89

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.