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Finding the Third Proportional to 2,052.84 and 3,207.73

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Solution

The third proportional to 2,052.84 and 3,207.73 is: 5,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.84 : 3,207.73 = 3,207.73 : x
  2. Step 2: Convert to fraction form
    2,052.84/3,207.73 = 3,207.73/x
  3. Step 3: Cross multiply
    2,052.84x = 3,207.73 × 3,207.73
  4. Step 4: Simplify right side
    2,052.84x = 10,289,509.70
  5. Step 5: Solve for x
    x = 10,289,509.70/2,052.84
  6. Step 6: Final answer
    x = 5,012.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.