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Finding the Third Proportional to 1,260.70 and 2,734.03

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Solution

The third proportional to 1,260.70 and 2,734.03 is: 5,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.70 : 2,734.03 = 2,734.03 : x
  2. Step 2: Convert to fraction form
    1,260.70/2,734.03 = 2,734.03/x
  3. Step 3: Cross multiply
    1,260.70x = 2,734.03 × 2,734.03
  4. Step 4: Simplify right side
    1,260.70x = 7,474,926.88
  5. Step 5: Solve for x
    x = 7,474,926.88/1,260.70
  6. Step 6: Final answer
    x = 5,929.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.