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Finding the Third Proportional to 25,467.13 and 56,010.75

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Solution

The third proportional to 25,467.13 and 56,010.75 is: 123,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,467.13 : 56,010.75 = 56,010.75 : x
  2. Step 2: Convert to fraction form
    25,467.13/56,010.75 = 56,010.75/x
  3. Step 3: Cross multiply
    25,467.13x = 56,010.75 × 56,010.75
  4. Step 4: Simplify right side
    25,467.13x = 3,137,204,115.56
  5. Step 5: Solve for x
    x = 3,137,204,115.56/25,467.13
  6. Step 6: Final answer
    x = 123,186.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.