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Finding the Third Proportional to 3,922 and 5,763

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Solution

The third proportional to 3,922 and 5,763 is: 8,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922 : 5,763 = 5,763 : x
  2. Step 2: Convert to fraction form
    3,922/5,763 = 5,763/x
  3. Step 3: Cross multiply
    3,922x = 5,763 × 5,763
  4. Step 4: Simplify right side
    3,922x = 33,212,169
  5. Step 5: Solve for x
    x = 33,212,169/3,922
  6. Step 6: Final answer
    x = 8,468.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.