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Finding the Third Proportional to 27,821 and 57,582

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Solution

The third proportional to 27,821 and 57,582 is: 119,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821 : 57,582 = 57,582 : x
  2. Step 2: Convert to fraction form
    27,821/57,582 = 57,582/x
  3. Step 3: Cross multiply
    27,821x = 57,582 × 57,582
  4. Step 4: Simplify right side
    27,821x = 3,315,686,724
  5. Step 5: Solve for x
    x = 3,315,686,724/27,821
  6. Step 6: Final answer
    x = 119,179.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.