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Finding the Third Proportional to 4,763 and 10,408

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Solution

The third proportional to 4,763 and 10,408 is: 22,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763 : 10,408 = 10,408 : x
  2. Step 2: Convert to fraction form
    4,763/10,408 = 10,408/x
  3. Step 3: Cross multiply
    4,763x = 10,408 × 10,408
  4. Step 4: Simplify right side
    4,763x = 108,326,464
  5. Step 5: Solve for x
    x = 108,326,464/4,763
  6. Step 6: Final answer
    x = 22,743.33

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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.