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Finding the Third Proportional to 2,132.72 and 3,290.34

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Solution

The third proportional to 2,132.72 and 3,290.34 is: 5,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.72 : 3,290.34 = 3,290.34 : x
  2. Step 2: Convert to fraction form
    2,132.72/3,290.34 = 3,290.34/x
  3. Step 3: Cross multiply
    2,132.72x = 3,290.34 × 3,290.34
  4. Step 4: Simplify right side
    2,132.72x = 10,826,361.99
  5. Step 5: Solve for x
    x = 10,826,361.99/2,132.72
  6. Step 6: Final answer
    x = 5,076.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.