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Finding the Third Proportional to 16,804 and 25,378

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Solution

The third proportional to 16,804 and 25,378 is: 38,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804 : 25,378 = 25,378 : x
  2. Step 2: Convert to fraction form
    16,804/25,378 = 25,378/x
  3. Step 3: Cross multiply
    16,804x = 25,378 × 25,378
  4. Step 4: Simplify right side
    16,804x = 644,042,884
  5. Step 5: Solve for x
    x = 644,042,884/16,804
  6. Step 6: Final answer
    x = 38,326.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.