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Finding the Third Proportional to 2,978.44 and 6,924.87

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Solution

The third proportional to 2,978.44 and 6,924.87 is: 16,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.44 : 6,924.87 = 6,924.87 : x
  2. Step 2: Convert to fraction form
    2,978.44/6,924.87 = 6,924.87/x
  3. Step 3: Cross multiply
    2,978.44x = 6,924.87 × 6,924.87
  4. Step 4: Simplify right side
    2,978.44x = 47,953,785.56
  5. Step 5: Solve for x
    x = 47,953,785.56/2,978.44
  6. Step 6: Final answer
    x = 16,100.32

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.