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Finding the Third Proportional to 24,771 and 54,462

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Solution

The third proportional to 24,771 and 54,462 is: 119,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771 : 54,462 = 54,462 : x
  2. Step 2: Convert to fraction form
    24,771/54,462 = 54,462/x
  3. Step 3: Cross multiply
    24,771x = 54,462 × 54,462
  4. Step 4: Simplify right side
    24,771x = 2,966,109,444
  5. Step 5: Solve for x
    x = 2,966,109,444/24,771
  6. Step 6: Final answer
    x = 119,741.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.