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Finding the Third Proportional to 16,655 and 25,093

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Solution

The third proportional to 16,655 and 25,093 is: 37,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655 : 25,093 = 25,093 : x
  2. Step 2: Convert to fraction form
    16,655/25,093 = 25,093/x
  3. Step 3: Cross multiply
    16,655x = 25,093 × 25,093
  4. Step 4: Simplify right side
    16,655x = 629,658,649
  5. Step 5: Solve for x
    x = 629,658,649/16,655
  6. Step 6: Final answer
    x = 37,805.98

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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.