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Finding the Third Proportional to 1,234.83 and 2,728.90

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Solution

The third proportional to 1,234.83 and 2,728.90 is: 6,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.83 : 2,728.90 = 2,728.90 : x
  2. Step 2: Convert to fraction form
    1,234.83/2,728.90 = 2,728.90/x
  3. Step 3: Cross multiply
    1,234.83x = 2,728.90 × 2,728.90
  4. Step 4: Simplify right side
    1,234.83x = 7,446,886.68
  5. Step 5: Solve for x
    x = 7,446,886.68/1,234.83
  6. Step 6: Final answer
    x = 6,030.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.