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Finding the Third Proportional to 2,052.84 and 2,728.69

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Solution

The third proportional to 2,052.84 and 2,728.69 is: 3,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.84 : 2,728.69 = 2,728.69 : x
  2. Step 2: Convert to fraction form
    2,052.84/2,728.69 = 2,728.69/x
  3. Step 3: Cross multiply
    2,052.84x = 2,728.69 × 2,728.69
  4. Step 4: Simplify right side
    2,052.84x = 7,445,735.47
  5. Step 5: Solve for x
    x = 7,445,735.47/2,052.84
  6. Step 6: Final answer
    x = 3,627.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.