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Finding the Third Proportional to 3,227.34 and 5,027.06

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Solution

The third proportional to 3,227.34 and 5,027.06 is: 7,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.34 : 5,027.06 = 5,027.06 : x
  2. Step 2: Convert to fraction form
    3,227.34/5,027.06 = 5,027.06/x
  3. Step 3: Cross multiply
    3,227.34x = 5,027.06 × 5,027.06
  4. Step 4: Simplify right side
    3,227.34x = 25,271,357.38
  5. Step 5: Solve for x
    x = 25,271,357.38/3,227.34
  6. Step 6: Final answer
    x = 7,830.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.