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Finding the Third Proportional to 1,207.97 and 2,510.44

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Solution

The third proportional to 1,207.97 and 2,510.44 is: 5,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.97 : 2,510.44 = 2,510.44 : x
  2. Step 2: Convert to fraction form
    1,207.97/2,510.44 = 2,510.44/x
  3. Step 3: Cross multiply
    1,207.97x = 2,510.44 × 2,510.44
  4. Step 4: Simplify right side
    1,207.97x = 6,302,296.44
  5. Step 5: Solve for x
    x = 6,302,296.44/1,207.97
  6. Step 6: Final answer
    x = 5,217.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.