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Finding the Third Proportional to 2,924.44 and 6,464.25

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Solution

The third proportional to 2,924.44 and 6,464.25 is: 14,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.44 : 6,464.25 = 6,464.25 : x
  2. Step 2: Convert to fraction form
    2,924.44/6,464.25 = 6,464.25/x
  3. Step 3: Cross multiply
    2,924.44x = 6,464.25 × 6,464.25
  4. Step 4: Simplify right side
    2,924.44x = 41,786,528.06
  5. Step 5: Solve for x
    x = 41,786,528.06/2,924.44
  6. Step 6: Final answer
    x = 14,288.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.