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Finding the Third Proportional to 1,003.78 and 1,576.97

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Solution

The third proportional to 1,003.78 and 1,576.97 is: 2,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.78 : 1,576.97 = 1,576.97 : x
  2. Step 2: Convert to fraction form
    1,003.78/1,576.97 = 1,576.97/x
  3. Step 3: Cross multiply
    1,003.78x = 1,576.97 × 1,576.97
  4. Step 4: Simplify right side
    1,003.78x = 2,486,830.44
  5. Step 5: Solve for x
    x = 2,486,830.44/1,003.78
  6. Step 6: Final answer
    x = 2,477.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.