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Finding the Third Proportional to 876.38 and 2,027.25

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Solution

The third proportional to 876.38 and 2,027.25 is: 4,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.38 : 2,027.25 = 2,027.25 : x
  2. Step 2: Convert to fraction form
    876.38/2,027.25 = 2,027.25/x
  3. Step 3: Cross multiply
    876.38x = 2,027.25 × 2,027.25
  4. Step 4: Simplify right side
    876.38x = 4,109,742.56
  5. Step 5: Solve for x
    x = 4,109,742.56/876.38
  6. Step 6: Final answer
    x = 4,689.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.