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Finding the Third Proportional to 2,796.19 and 5,425.31

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Solution

The third proportional to 2,796.19 and 5,425.31 is: 10,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.19 : 5,425.31 = 5,425.31 : x
  2. Step 2: Convert to fraction form
    2,796.19/5,425.31 = 5,425.31/x
  3. Step 3: Cross multiply
    2,796.19x = 5,425.31 × 5,425.31
  4. Step 4: Simplify right side
    2,796.19x = 29,434,015.72
  5. Step 5: Solve for x
    x = 29,434,015.72/2,796.19
  6. Step 6: Final answer
    x = 10,526.48

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.