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Finding the Third Proportional to 11,050 and 16,673

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Solution

The third proportional to 11,050 and 16,673 is: 25,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,050 : 16,673 = 16,673 : x
  2. Step 2: Convert to fraction form
    11,050/16,673 = 16,673/x
  3. Step 3: Cross multiply
    11,050x = 16,673 × 16,673
  4. Step 4: Simplify right side
    11,050x = 277,988,929
  5. Step 5: Solve for x
    x = 277,988,929/11,050
  6. Step 6: Final answer
    x = 25,157.37

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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.