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Finding the Third Proportional to 11,782.50 and 17,277

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Solution

The third proportional to 11,782.50 and 17,277 is: 25,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.50 : 17,277 = 17,277 : x
  2. Step 2: Convert to fraction form
    11,782.50/17,277 = 17,277/x
  3. Step 3: Cross multiply
    11,782.50x = 17,277 × 17,277
  4. Step 4: Simplify right side
    11,782.50x = 298,494,729
  5. Step 5: Solve for x
    x = 298,494,729/11,782.50
  6. Step 6: Final answer
    x = 25,333.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.