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Finding the Third Proportional to 16,237 and 25,827

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Solution

The third proportional to 16,237 and 25,827 is: 41,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237 : 25,827 = 25,827 : x
  2. Step 2: Convert to fraction form
    16,237/25,827 = 25,827/x
  3. Step 3: Cross multiply
    16,237x = 25,827 × 25,827
  4. Step 4: Simplify right side
    16,237x = 667,033,929
  5. Step 5: Solve for x
    x = 667,033,929/16,237
  6. Step 6: Final answer
    x = 41,081.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.