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Finding the Third Proportional to 3,600.56 and 7,884.56

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Solution

The third proportional to 3,600.56 and 7,884.56 is: 17,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,600.56 : 7,884.56 = 7,884.56 : x
  2. Step 2: Convert to fraction form
    3,600.56/7,884.56 = 7,884.56/x
  3. Step 3: Cross multiply
    3,600.56x = 7,884.56 × 7,884.56
  4. Step 4: Simplify right side
    3,600.56x = 62,166,325.82
  5. Step 5: Solve for x
    x = 62,166,325.82/3,600.56
  6. Step 6: Final answer
    x = 17,265.73

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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.