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Finding the Third Proportional to 3,884.06 and 5,562.56

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Solution

The third proportional to 3,884.06 and 5,562.56 is: 7,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.06 : 5,562.56 = 5,562.56 : x
  2. Step 2: Convert to fraction form
    3,884.06/5,562.56 = 5,562.56/x
  3. Step 3: Cross multiply
    3,884.06x = 5,562.56 × 5,562.56
  4. Step 4: Simplify right side
    3,884.06x = 30,942,101.57
  5. Step 5: Solve for x
    x = 30,942,101.57/3,884.06
  6. Step 6: Final answer
    x = 7,966.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.