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Finding the Third Proportional to 29,601 and 61,938

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Solution

The third proportional to 29,601 and 61,938 is: 129,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601 : 61,938 = 61,938 : x
  2. Step 2: Convert to fraction form
    29,601/61,938 = 61,938/x
  3. Step 3: Cross multiply
    29,601x = 61,938 × 61,938
  4. Step 4: Simplify right side
    29,601x = 3,836,315,844
  5. Step 5: Solve for x
    x = 3,836,315,844/29,601
  6. Step 6: Final answer
    x = 129,600.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.