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Finding the Third Proportional to 27,556 and 41,265

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Solution

The third proportional to 27,556 and 41,265 is: 61,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,556 : 41,265 = 41,265 : x
  2. Step 2: Convert to fraction form
    27,556/41,265 = 41,265/x
  3. Step 3: Cross multiply
    27,556x = 41,265 × 41,265
  4. Step 4: Simplify right side
    27,556x = 1,702,800,225
  5. Step 5: Solve for x
    x = 1,702,800,225/27,556
  6. Step 6: Final answer
    x = 61,794.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.