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Finding the Third Proportional to 2,132.58 and 3,290.20

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Solution

The third proportional to 2,132.58 and 3,290.20 is: 5,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.58 : 3,290.20 = 3,290.20 : x
  2. Step 2: Convert to fraction form
    2,132.58/3,290.20 = 3,290.20/x
  3. Step 3: Cross multiply
    2,132.58x = 3,290.20 × 3,290.20
  4. Step 4: Simplify right side
    2,132.58x = 10,825,436.60
  5. Step 5: Solve for x
    x = 10,825,436.60/2,132.58
  6. Step 6: Final answer
    x = 5,076.22

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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.