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Finding the Third Proportional to 1,257.75 and 2,703.38

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Solution

The third proportional to 1,257.75 and 2,703.38 is: 5,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.75 : 2,703.38 = 2,703.38 : x
  2. Step 2: Convert to fraction form
    1,257.75/2,703.38 = 2,703.38/x
  3. Step 3: Cross multiply
    1,257.75x = 2,703.38 × 2,703.38
  4. Step 4: Simplify right side
    1,257.75x = 7,308,236.39
  5. Step 5: Solve for x
    x = 7,308,236.39/1,257.75
  6. Step 6: Final answer
    x = 5,810.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.