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Finding the Third Proportional to 23,145 and 50,841

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Solution

The third proportional to 23,145 and 50,841 is: 111,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145 : 50,841 = 50,841 : x
  2. Step 2: Convert to fraction form
    23,145/50,841 = 50,841/x
  3. Step 3: Cross multiply
    23,145x = 50,841 × 50,841
  4. Step 4: Simplify right side
    23,145x = 2,584,807,281
  5. Step 5: Solve for x
    x = 2,584,807,281/23,145
  6. Step 6: Final answer
    x = 111,678.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.