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Finding the Third Proportional to 1,017.25 and 2,456.26

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Solution

The third proportional to 1,017.25 and 2,456.26 is: 5,930.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.25 : 2,456.26 = 2,456.26 : x
  2. Step 2: Convert to fraction form
    1,017.25/2,456.26 = 2,456.26/x
  3. Step 3: Cross multiply
    1,017.25x = 2,456.26 × 2,456.26
  4. Step 4: Simplify right side
    1,017.25x = 6,033,221.63
  5. Step 5: Solve for x
    x = 6,033,221.63/1,017.25
  6. Step 6: Final answer
    x = 5,930.94

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.