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Finding the Third Proportional to 1,576.78 and 3,355.97

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Solution

The third proportional to 1,576.78 and 3,355.97 is: 7,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.78 : 3,355.97 = 3,355.97 : x
  2. Step 2: Convert to fraction form
    1,576.78/3,355.97 = 3,355.97/x
  3. Step 3: Cross multiply
    1,576.78x = 3,355.97 × 3,355.97
  4. Step 4: Simplify right side
    1,576.78x = 11,262,526.25
  5. Step 5: Solve for x
    x = 11,262,526.25/1,576.78
  6. Step 6: Final answer
    x = 7,142.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.