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Finding the Third Proportional to 24,739 and 54,813

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Solution

The third proportional to 24,739 and 54,813 is: 121,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739 : 54,813 = 54,813 : x
  2. Step 2: Convert to fraction form
    24,739/54,813 = 54,813/x
  3. Step 3: Cross multiply
    24,739x = 54,813 × 54,813
  4. Step 4: Simplify right side
    24,739x = 3,004,464,969
  5. Step 5: Solve for x
    x = 3,004,464,969/24,739
  6. Step 6: Final answer
    x = 121,446.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.