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Finding the Third Proportional to 5,690 and 11,692

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Solution

The third proportional to 5,690 and 11,692 is: 24,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690 : 11,692 = 11,692 : x
  2. Step 2: Convert to fraction form
    5,690/11,692 = 11,692/x
  3. Step 3: Cross multiply
    5,690x = 11,692 × 11,692
  4. Step 4: Simplify right side
    5,690x = 136,702,864
  5. Step 5: Solve for x
    x = 136,702,864/5,690
  6. Step 6: Final answer
    x = 24,025.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.