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Finding the Third Proportional to 16,544 and 25,636

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Solution

The third proportional to 16,544 and 25,636 is: 39,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544 : 25,636 = 25,636 : x
  2. Step 2: Convert to fraction form
    16,544/25,636 = 25,636/x
  3. Step 3: Cross multiply
    16,544x = 25,636 × 25,636
  4. Step 4: Simplify right side
    16,544x = 657,204,496
  5. Step 5: Solve for x
    x = 657,204,496/16,544
  6. Step 6: Final answer
    x = 39,724.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.