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Finding the Third Proportional to 16,869 and 25,609

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Solution

The third proportional to 16,869 and 25,609 is: 38,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869 : 25,609 = 25,609 : x
  2. Step 2: Convert to fraction form
    16,869/25,609 = 25,609/x
  3. Step 3: Cross multiply
    16,869x = 25,609 × 25,609
  4. Step 4: Simplify right side
    16,869x = 655,820,881
  5. Step 5: Solve for x
    x = 655,820,881/16,869
  6. Step 6: Final answer
    x = 38,877.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.