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Finding the Third Proportional to 29,906 and 62,910

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Solution

The third proportional to 29,906 and 62,910 is: 132,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906 : 62,910 = 62,910 : x
  2. Step 2: Convert to fraction form
    29,906/62,910 = 62,910/x
  3. Step 3: Cross multiply
    29,906x = 62,910 × 62,910
  4. Step 4: Simplify right side
    29,906x = 3,957,668,100
  5. Step 5: Solve for x
    x = 3,957,668,100/29,906
  6. Step 6: Final answer
    x = 132,336.93

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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.