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Finding the Third Proportional to 927.56 and 2,027.25

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Solution

The third proportional to 927.56 and 2,027.25 is: 4,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.56 : 2,027.25 = 2,027.25 : x
  2. Step 2: Convert to fraction form
    927.56/2,027.25 = 2,027.25/x
  3. Step 3: Cross multiply
    927.56x = 2,027.25 × 2,027.25
  4. Step 4: Simplify right side
    927.56x = 4,109,742.56
  5. Step 5: Solve for x
    x = 4,109,742.56/927.56
  6. Step 6: Final answer
    x = 4,430.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.