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Finding the Third Proportional to 1,239.75 and 2,707.03

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Solution

The third proportional to 1,239.75 and 2,707.03 is: 5,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.75 : 2,707.03 = 2,707.03 : x
  2. Step 2: Convert to fraction form
    1,239.75/2,707.03 = 2,707.03/x
  3. Step 3: Cross multiply
    1,239.75x = 2,707.03 × 2,707.03
  4. Step 4: Simplify right side
    1,239.75x = 7,328,018.19
  5. Step 5: Solve for x
    x = 7,328,018.19/1,239.75
  6. Step 6: Final answer
    x = 5,910.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.