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Finding the Third Proportional to 2,375.44 and 5,128.88

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Solution

The third proportional to 2,375.44 and 5,128.88 is: 11,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.44 : 5,128.88 = 5,128.88 : x
  2. Step 2: Convert to fraction form
    2,375.44/5,128.88 = 5,128.88/x
  3. Step 3: Cross multiply
    2,375.44x = 5,128.88 × 5,128.88
  4. Step 4: Simplify right side
    2,375.44x = 26,305,358.77
  5. Step 5: Solve for x
    x = 26,305,358.77/2,375.44
  6. Step 6: Final answer
    x = 11,073.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.