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Finding the Third Proportional to 2,150.30 and 3,322.90

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Solution

The third proportional to 2,150.30 and 3,322.90 is: 5,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.30 : 3,322.90 = 3,322.90 : x
  2. Step 2: Convert to fraction form
    2,150.30/3,322.90 = 3,322.90/x
  3. Step 3: Cross multiply
    2,150.30x = 3,322.90 × 3,322.90
  4. Step 4: Simplify right side
    2,150.30x = 11,041,654.03
  5. Step 5: Solve for x
    x = 11,041,654.03/2,150.30
  6. Step 6: Final answer
    x = 5,134.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.