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Finding the Third Proportional to 1,692 and 3,927

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Solution

The third proportional to 1,692 and 3,927 is: 9,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692 : 3,927 = 3,927 : x
  2. Step 2: Convert to fraction form
    1,692/3,927 = 3,927/x
  3. Step 3: Cross multiply
    1,692x = 3,927 × 3,927
  4. Step 4: Simplify right side
    1,692x = 15,421,329
  5. Step 5: Solve for x
    x = 15,421,329/1,692
  6. Step 6: Final answer
    x = 9,114.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.