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Finding the Third Proportional to 16,502 and 18,734

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Solution

The third proportional to 16,502 and 18,734 is: 21,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502 : 18,734 = 18,734 : x
  2. Step 2: Convert to fraction form
    16,502/18,734 = 18,734/x
  3. Step 3: Cross multiply
    16,502x = 18,734 × 18,734
  4. Step 4: Simplify right side
    16,502x = 350,962,756
  5. Step 5: Solve for x
    x = 350,962,756/16,502
  6. Step 6: Final answer
    x = 21,267.89

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.