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Finding the Third Proportional to 26,212 and 36,510

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Solution

The third proportional to 26,212 and 36,510 is: 50,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,212 : 36,510 = 36,510 : x
  2. Step 2: Convert to fraction form
    26,212/36,510 = 36,510/x
  3. Step 3: Cross multiply
    26,212x = 36,510 × 36,510
  4. Step 4: Simplify right side
    26,212x = 1,332,980,100
  5. Step 5: Solve for x
    x = 1,332,980,100/26,212
  6. Step 6: Final answer
    x = 50,853.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.