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Finding the Third Proportional to 29,260 and 44,150

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Solution

The third proportional to 29,260 and 44,150 is: 66,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,260 : 44,150 = 44,150 : x
  2. Step 2: Convert to fraction form
    29,260/44,150 = 44,150/x
  3. Step 3: Cross multiply
    29,260x = 44,150 × 44,150
  4. Step 4: Simplify right side
    29,260x = 1,949,222,500
  5. Step 5: Solve for x
    x = 1,949,222,500/29,260
  6. Step 6: Final answer
    x = 66,617.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.