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Finding the Third Proportional to 29,906 and 62,912

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Solution

The third proportional to 29,906 and 62,912 is: 132,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906 : 62,912 = 62,912 : x
  2. Step 2: Convert to fraction form
    29,906/62,912 = 62,912/x
  3. Step 3: Cross multiply
    29,906x = 62,912 × 62,912
  4. Step 4: Simplify right side
    29,906x = 3,957,919,744
  5. Step 5: Solve for x
    x = 3,957,919,744/29,906
  6. Step 6: Final answer
    x = 132,345.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.