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Finding the Third Proportional to 23,606 and 36,228

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Solution

The third proportional to 23,606 and 36,228 is: 55,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,606 : 36,228 = 36,228 : x
  2. Step 2: Convert to fraction form
    23,606/36,228 = 36,228/x
  3. Step 3: Cross multiply
    23,606x = 36,228 × 36,228
  4. Step 4: Simplify right side
    23,606x = 1,312,467,984
  5. Step 5: Solve for x
    x = 1,312,467,984/23,606
  6. Step 6: Final answer
    x = 55,598.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.