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Finding the Third Proportional to 12,907.50 and 18,177

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Solution

The third proportional to 12,907.50 and 18,177 is: 25,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.50 : 18,177 = 18,177 : x
  2. Step 2: Convert to fraction form
    12,907.50/18,177 = 18,177/x
  3. Step 3: Cross multiply
    12,907.50x = 18,177 × 18,177
  4. Step 4: Simplify right side
    12,907.50x = 330,403,329
  5. Step 5: Solve for x
    x = 330,403,329/12,907.50
  6. Step 6: Final answer
    x = 25,597.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.