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Finding the Third Proportional to 20,803.50 and 27,666

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Solution

The third proportional to 20,803.50 and 27,666 is: 36,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.50 : 27,666 = 27,666 : x
  2. Step 2: Convert to fraction form
    20,803.50/27,666 = 27,666/x
  3. Step 3: Cross multiply
    20,803.50x = 27,666 × 27,666
  4. Step 4: Simplify right side
    20,803.50x = 765,407,556
  5. Step 5: Solve for x
    x = 765,407,556/20,803.50
  6. Step 6: Final answer
    x = 36,792.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.