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Finding the Third Proportional to 25,821 and 54,717

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Solution

The third proportional to 25,821 and 54,717 is: 115,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821 : 54,717 = 54,717 : x
  2. Step 2: Convert to fraction form
    25,821/54,717 = 54,717/x
  3. Step 3: Cross multiply
    25,821x = 54,717 × 54,717
  4. Step 4: Simplify right side
    25,821x = 2,993,950,089
  5. Step 5: Solve for x
    x = 2,993,950,089/25,821
  6. Step 6: Final answer
    x = 115,950.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.