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Finding the Third Proportional to 2,655 and 7,223.06

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Solution

The third proportional to 2,655 and 7,223.06 is: 19,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655 : 7,223.06 = 7,223.06 : x
  2. Step 2: Convert to fraction form
    2,655/7,223.06 = 7,223.06/x
  3. Step 3: Cross multiply
    2,655x = 7,223.06 × 7,223.06
  4. Step 4: Simplify right side
    2,655x = 52,172,631.88
  5. Step 5: Solve for x
    x = 52,172,631.88/2,655
  6. Step 6: Final answer
    x = 19,650.71

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.