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Finding the Third Proportional to 1,803.16 and 2,728.83

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Solution

The third proportional to 1,803.16 and 2,728.83 is: 4,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.16 : 2,728.83 = 2,728.83 : x
  2. Step 2: Convert to fraction form
    1,803.16/2,728.83 = 2,728.83/x
  3. Step 3: Cross multiply
    1,803.16x = 2,728.83 × 2,728.83
  4. Step 4: Simplify right side
    1,803.16x = 7,446,502.94
  5. Step 5: Solve for x
    x = 7,446,502.94/1,803.16
  6. Step 6: Final answer
    x = 4,129.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.