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Finding the Third Proportional to 24,923 and 53,759

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Solution

The third proportional to 24,923 and 53,759 is: 115,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923 : 53,759 = 53,759 : x
  2. Step 2: Convert to fraction form
    24,923/53,759 = 53,759/x
  3. Step 3: Cross multiply
    24,923x = 53,759 × 53,759
  4. Step 4: Simplify right side
    24,923x = 2,890,030,081
  5. Step 5: Solve for x
    x = 2,890,030,081/24,923
  6. Step 6: Final answer
    x = 115,958.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.