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Finding the Third Proportional to 4,723.31 and 11,145.09

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Solution

The third proportional to 4,723.31 and 11,145.09 is: 26,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.31 : 11,145.09 = 11,145.09 : x
  2. Step 2: Convert to fraction form
    4,723.31/11,145.09 = 11,145.09/x
  3. Step 3: Cross multiply
    4,723.31x = 11,145.09 × 11,145.09
  4. Step 4: Simplify right side
    4,723.31x = 124,213,114.70
  5. Step 5: Solve for x
    x = 124,213,114.70/4,723.31
  6. Step 6: Final answer
    x = 26,297.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.