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Finding the Third Proportional to 2,730 and 5,550

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Solution

The third proportional to 2,730 and 5,550 is: 11,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730 : 5,550 = 5,550 : x
  2. Step 2: Convert to fraction form
    2,730/5,550 = 5,550/x
  3. Step 3: Cross multiply
    2,730x = 5,550 × 5,550
  4. Step 4: Simplify right side
    2,730x = 30,802,500
  5. Step 5: Solve for x
    x = 30,802,500/2,730
  6. Step 6: Final answer
    x = 11,282.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.