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Finding the Third Proportional to 23,169 and 49,938

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Solution

The third proportional to 23,169 and 49,938 is: 107,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,169 : 49,938 = 49,938 : x
  2. Step 2: Convert to fraction form
    23,169/49,938 = 49,938/x
  3. Step 3: Cross multiply
    23,169x = 49,938 × 49,938
  4. Step 4: Simplify right side
    23,169x = 2,493,803,844
  5. Step 5: Solve for x
    x = 2,493,803,844/23,169
  6. Step 6: Final answer
    x = 107,635.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.