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Finding the Third Proportional to 11,317 and 24,821

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Solution

The third proportional to 11,317 and 24,821 is: 54,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317 : 24,821 = 24,821 : x
  2. Step 2: Convert to fraction form
    11,317/24,821 = 24,821/x
  3. Step 3: Cross multiply
    11,317x = 24,821 × 24,821
  4. Step 4: Simplify right side
    11,317x = 616,082,041
  5. Step 5: Solve for x
    x = 616,082,041/11,317
  6. Step 6: Final answer
    x = 54,438.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.