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Finding the Third Proportional to 3,976.88 and 8,564.56

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Solution

The third proportional to 3,976.88 and 8,564.56 is: 18,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.88 : 8,564.56 = 8,564.56 : x
  2. Step 2: Convert to fraction form
    3,976.88/8,564.56 = 8,564.56/x
  3. Step 3: Cross multiply
    3,976.88x = 8,564.56 × 8,564.56
  4. Step 4: Simplify right side
    3,976.88x = 73,351,730.82
  5. Step 5: Solve for x
    x = 73,351,730.82/3,976.88
  6. Step 6: Final answer
    x = 18,444.57

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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.