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Finding the Third Proportional to 959.19 and 1,481.19

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Solution

The third proportional to 959.19 and 1,481.19 is: 2,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.19 : 1,481.19 = 1,481.19 : x
  2. Step 2: Convert to fraction form
    959.19/1,481.19 = 1,481.19/x
  3. Step 3: Cross multiply
    959.19x = 1,481.19 × 1,481.19
  4. Step 4: Simplify right side
    959.19x = 2,193,916.41
  5. Step 5: Solve for x
    x = 2,193,916.41/959.19
  6. Step 6: Final answer
    x = 2,287.27

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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.