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Finding the Third Proportional to 29,907 and 62,912.25

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Solution

The third proportional to 29,907 and 62,912.25 is: 132,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,907 : 62,912.25 = 62,912.25 : x
  2. Step 2: Convert to fraction form
    29,907/62,912.25 = 62,912.25/x
  3. Step 3: Cross multiply
    29,907x = 62,912.25 × 62,912.25
  4. Step 4: Simplify right side
    29,907x = 3,957,951,200.06
  5. Step 5: Solve for x
    x = 3,957,951,200.06/29,907
  6. Step 6: Final answer
    x = 132,341.97

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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.