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Finding the Third Proportional to 12,807.75 and 26,247.75

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Solution

The third proportional to 12,807.75 and 26,247.75 is: 53,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.75 : 26,247.75 = 26,247.75 : x
  2. Step 2: Convert to fraction form
    12,807.75/26,247.75 = 26,247.75/x
  3. Step 3: Cross multiply
    12,807.75x = 26,247.75 × 26,247.75
  4. Step 4: Simplify right side
    12,807.75x = 688,944,380.06
  5. Step 5: Solve for x
    x = 688,944,380.06/12,807.75
  6. Step 6: Final answer
    x = 53,791.21

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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.