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Finding the Third Proportional to 23,620 and 51,182

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Solution

The third proportional to 23,620 and 51,182 is: 110,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,620 : 51,182 = 51,182 : x
  2. Step 2: Convert to fraction form
    23,620/51,182 = 51,182/x
  3. Step 3: Cross multiply
    23,620x = 51,182 × 51,182
  4. Step 4: Simplify right side
    23,620x = 2,619,597,124
  5. Step 5: Solve for x
    x = 2,619,597,124/23,620
  6. Step 6: Final answer
    x = 110,905.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.