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Finding the Third Proportional to 29,907 and 65,619

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Solution

The third proportional to 29,907 and 65,619 is: 143,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,907 : 65,619 = 65,619 : x
  2. Step 2: Convert to fraction form
    29,907/65,619 = 65,619/x
  3. Step 3: Cross multiply
    29,907x = 65,619 × 65,619
  4. Step 4: Simplify right side
    29,907x = 4,305,853,161
  5. Step 5: Solve for x
    x = 4,305,853,161/29,907
  6. Step 6: Final answer
    x = 143,974.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.