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Finding the Third Proportional to 12,530 and 26,275

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Solution

The third proportional to 12,530 and 26,275 is: 55,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530 : 26,275 = 26,275 : x
  2. Step 2: Convert to fraction form
    12,530/26,275 = 26,275/x
  3. Step 3: Cross multiply
    12,530x = 26,275 × 26,275
  4. Step 4: Simplify right side
    12,530x = 690,375,625
  5. Step 5: Solve for x
    x = 690,375,625/12,530
  6. Step 6: Final answer
    x = 55,097.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.