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Finding the Third Proportional to 2,132 and 3,388

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Solution

The third proportional to 2,132 and 3,388 is: 5,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132 : 3,388 = 3,388 : x
  2. Step 2: Convert to fraction form
    2,132/3,388 = 3,388/x
  3. Step 3: Cross multiply
    2,132x = 3,388 × 3,388
  4. Step 4: Simplify right side
    2,132x = 11,478,544
  5. Step 5: Solve for x
    x = 11,478,544/2,132
  6. Step 6: Final answer
    x = 5,383.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.