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Finding the Third Proportional to 1,161.66 and 1,732.31

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Solution

The third proportional to 1,161.66 and 1,732.31 is: 2,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.66 : 1,732.31 = 1,732.31 : x
  2. Step 2: Convert to fraction form
    1,161.66/1,732.31 = 1,732.31/x
  3. Step 3: Cross multiply
    1,161.66x = 1,732.31 × 1,732.31
  4. Step 4: Simplify right side
    1,161.66x = 3,000,906.60
  5. Step 5: Solve for x
    x = 3,000,906.60/1,161.66
  6. Step 6: Final answer
    x = 2,583.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.