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Finding the Third Proportional to 1,576.97 and 3,421.41

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Solution

The third proportional to 1,576.97 and 3,421.41 is: 7,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.97 : 3,421.41 = 3,421.41 : x
  2. Step 2: Convert to fraction form
    1,576.97/3,421.41 = 3,421.41/x
  3. Step 3: Cross multiply
    1,576.97x = 3,421.41 × 3,421.41
  4. Step 4: Simplify right side
    1,576.97x = 11,706,020.73
  5. Step 5: Solve for x
    x = 11,706,020.73/1,576.97
  6. Step 6: Final answer
    x = 7,423.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.