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Finding the Third Proportional to 1,171.34 and 1,808.26

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Solution

The third proportional to 1,171.34 and 1,808.26 is: 2,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.34 : 1,808.26 = 1,808.26 : x
  2. Step 2: Convert to fraction form
    1,171.34/1,808.26 = 1,808.26/x
  3. Step 3: Cross multiply
    1,171.34x = 1,808.26 × 1,808.26
  4. Step 4: Simplify right side
    1,171.34x = 3,269,810.44
  5. Step 5: Solve for x
    x = 3,269,810.44/1,171.34
  6. Step 6: Final answer
    x = 2,791.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.