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Finding the Third Proportional to 1,346.25 and 2,964.75

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Solution

The third proportional to 1,346.25 and 2,964.75 is: 6,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.25 : 2,964.75 = 2,964.75 : x
  2. Step 2: Convert to fraction form
    1,346.25/2,964.75 = 2,964.75/x
  3. Step 3: Cross multiply
    1,346.25x = 2,964.75 × 2,964.75
  4. Step 4: Simplify right side
    1,346.25x = 8,789,742.56
  5. Step 5: Solve for x
    x = 8,789,742.56/1,346.25
  6. Step 6: Final answer
    x = 6,529.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.