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Finding the Third Proportional to 1,609.88 and 3,491.44

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Solution

The third proportional to 1,609.88 and 3,491.44 is: 7,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.88 : 3,491.44 = 3,491.44 : x
  2. Step 2: Convert to fraction form
    1,609.88/3,491.44 = 3,491.44/x
  3. Step 3: Cross multiply
    1,609.88x = 3,491.44 × 3,491.44
  4. Step 4: Simplify right side
    1,609.88x = 12,190,135.82
  5. Step 5: Solve for x
    x = 12,190,135.82/1,609.88
  6. Step 6: Final answer
    x = 7,572.10

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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.