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Finding the Third Proportional to 5,782.50 and 11,277

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Solution

The third proportional to 5,782.50 and 11,277 is: 21,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.50 : 11,277 = 11,277 : x
  2. Step 2: Convert to fraction form
    5,782.50/11,277 = 11,277/x
  3. Step 3: Cross multiply
    5,782.50x = 11,277 × 11,277
  4. Step 4: Simplify right side
    5,782.50x = 127,170,729
  5. Step 5: Solve for x
    x = 127,170,729/5,782.50
  6. Step 6: Final answer
    x = 21,992.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.