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Finding the Third Proportional to 2,527.45 and 5,464.97

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Solution

The third proportional to 2,527.45 and 5,464.97 is: 11,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.45 : 5,464.97 = 5,464.97 : x
  2. Step 2: Convert to fraction form
    2,527.45/5,464.97 = 5,464.97/x
  3. Step 3: Cross multiply
    2,527.45x = 5,464.97 × 5,464.97
  4. Step 4: Simplify right side
    2,527.45x = 29,865,883.44
  5. Step 5: Solve for x
    x = 29,865,883.44/2,527.45
  6. Step 6: Final answer
    x = 11,816.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.