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Finding the Third Proportional to 14,104 and 18,654

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Solution

The third proportional to 14,104 and 18,654 is: 24,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104 : 18,654 = 18,654 : x
  2. Step 2: Convert to fraction form
    14,104/18,654 = 18,654/x
  3. Step 3: Cross multiply
    14,104x = 18,654 × 18,654
  4. Step 4: Simplify right side
    14,104x = 347,971,716
  5. Step 5: Solve for x
    x = 347,971,716/14,104
  6. Step 6: Final answer
    x = 24,671.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.