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Finding the Third Proportional to 29,450 and 65,044

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Solution

The third proportional to 29,450 and 65,044 is: 143,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,450 : 65,044 = 65,044 : x
  2. Step 2: Convert to fraction form
    29,450/65,044 = 65,044/x
  3. Step 3: Cross multiply
    29,450x = 65,044 × 65,044
  4. Step 4: Simplify right side
    29,450x = 4,230,721,936
  5. Step 5: Solve for x
    x = 4,230,721,936/29,450
  6. Step 6: Final answer
    x = 143,657.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.