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Finding the Third Proportional to 956.28 and 2,027.89

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Solution

The third proportional to 956.28 and 2,027.89 is: 4,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.28 : 2,027.89 = 2,027.89 : x
  2. Step 2: Convert to fraction form
    956.28/2,027.89 = 2,027.89/x
  3. Step 3: Cross multiply
    956.28x = 2,027.89 × 2,027.89
  4. Step 4: Simplify right side
    956.28x = 4,112,326.52
  5. Step 5: Solve for x
    x = 4,112,326.52/956.28
  6. Step 6: Final answer
    x = 4,300.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.