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Finding the Third Proportional to 959.11 and 1,481.06

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Solution

The third proportional to 959.11 and 1,481.06 is: 2,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.11 : 1,481.06 = 1,481.06 : x
  2. Step 2: Convert to fraction form
    959.11/1,481.06 = 1,481.06/x
  3. Step 3: Cross multiply
    959.11x = 1,481.06 × 1,481.06
  4. Step 4: Simplify right side
    959.11x = 2,193,546.13
  5. Step 5: Solve for x
    x = 2,193,546.13/959.11
  6. Step 6: Final answer
    x = 2,287.07

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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.