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Finding the Third Proportional to 16,804 and 26,304

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Solution

The third proportional to 16,804 and 26,304 is: 41,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804 : 26,304 = 26,304 : x
  2. Step 2: Convert to fraction form
    16,804/26,304 = 26,304/x
  3. Step 3: Cross multiply
    16,804x = 26,304 × 26,304
  4. Step 4: Simplify right side
    16,804x = 691,900,416
  5. Step 5: Solve for x
    x = 691,900,416/16,804
  6. Step 6: Final answer
    x = 41,174.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.