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Finding the Third Proportional to 29,629 and 39,150

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Solution

The third proportional to 29,629 and 39,150 is: 51,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,629 : 39,150 = 39,150 : x
  2. Step 2: Convert to fraction form
    29,629/39,150 = 39,150/x
  3. Step 3: Cross multiply
    29,629x = 39,150 × 39,150
  4. Step 4: Simplify right side
    29,629x = 1,532,722,500
  5. Step 5: Solve for x
    x = 1,532,722,500/29,629
  6. Step 6: Final answer
    x = 51,730.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.