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Finding the Third Proportional to 1,135.41 and 1,765.41

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Solution

The third proportional to 1,135.41 and 1,765.41 is: 2,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.41 : 1,765.41 = 1,765.41 : x
  2. Step 2: Convert to fraction form
    1,135.41/1,765.41 = 1,765.41/x
  3. Step 3: Cross multiply
    1,135.41x = 1,765.41 × 1,765.41
  4. Step 4: Simplify right side
    1,135.41x = 3,116,659.23
  5. Step 5: Solve for x
    x = 3,116,659.23/1,135.41
  6. Step 6: Final answer
    x = 2,744.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.