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Finding the Third Proportional to 2,180 and 3,732

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Solution

The third proportional to 2,180 and 3,732 is: 6,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180 : 3,732 = 3,732 : x
  2. Step 2: Convert to fraction form
    2,180/3,732 = 3,732/x
  3. Step 3: Cross multiply
    2,180x = 3,732 × 3,732
  4. Step 4: Simplify right side
    2,180x = 13,927,824
  5. Step 5: Solve for x
    x = 13,927,824/2,180
  6. Step 6: Final answer
    x = 6,388.91

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.