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Finding the Third Proportional to 1,270.88 and 2,023.78

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Solution

The third proportional to 1,270.88 and 2,023.78 is: 3,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.88 : 2,023.78 = 2,023.78 : x
  2. Step 2: Convert to fraction form
    1,270.88/2,023.78 = 2,023.78/x
  3. Step 3: Cross multiply
    1,270.88x = 2,023.78 × 2,023.78
  4. Step 4: Simplify right side
    1,270.88x = 4,095,690.55
  5. Step 5: Solve for x
    x = 4,095,690.55/1,270.88
  6. Step 6: Final answer
    x = 3,222.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.