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Finding the Third Proportional to 2,027.21 and 4,357.55

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Solution

The third proportional to 2,027.21 and 4,357.55 is: 9,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.21 : 4,357.55 = 4,357.55 : x
  2. Step 2: Convert to fraction form
    2,027.21/4,357.55 = 4,357.55/x
  3. Step 3: Cross multiply
    2,027.21x = 4,357.55 × 4,357.55
  4. Step 4: Simplify right side
    2,027.21x = 18,988,214.77
  5. Step 5: Solve for x
    x = 18,988,214.77/2,027.21
  6. Step 6: Final answer
    x = 9,366.65

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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.