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Finding the Third Proportional to 2,317 and 4,823

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Solution

The third proportional to 2,317 and 4,823 is: 10,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317 : 4,823 = 4,823 : x
  2. Step 2: Convert to fraction form
    2,317/4,823 = 4,823/x
  3. Step 3: Cross multiply
    2,317x = 4,823 × 4,823
  4. Step 4: Simplify right side
    2,317x = 23,261,329
  5. Step 5: Solve for x
    x = 23,261,329/2,317
  6. Step 6: Final answer
    x = 10,039.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.