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Finding the Third Proportional to 16,804 and 22,302

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Solution

The third proportional to 16,804 and 22,302 is: 29,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804 : 22,302 = 22,302 : x
  2. Step 2: Convert to fraction form
    16,804/22,302 = 22,302/x
  3. Step 3: Cross multiply
    16,804x = 22,302 × 22,302
  4. Step 4: Simplify right side
    16,804x = 497,379,204
  5. Step 5: Solve for x
    x = 497,379,204/16,804
  6. Step 6: Final answer
    x = 29,598.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.