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Finding the Third Proportional to 2,525.06 and 5,175.84

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Solution

The third proportional to 2,525.06 and 5,175.84 is: 10,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.06 : 5,175.84 = 5,175.84 : x
  2. Step 2: Convert to fraction form
    2,525.06/5,175.84 = 5,175.84/x
  3. Step 3: Cross multiply
    2,525.06x = 5,175.84 × 5,175.84
  4. Step 4: Simplify right side
    2,525.06x = 26,789,358.52
  5. Step 5: Solve for x
    x = 26,789,358.52/2,525.06
  6. Step 6: Final answer
    x = 10,609.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.