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Finding the Third Proportional to 29,574 and 44,256

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Solution

The third proportional to 29,574 and 44,256 is: 66,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574 : 44,256 = 44,256 : x
  2. Step 2: Convert to fraction form
    29,574/44,256 = 44,256/x
  3. Step 3: Cross multiply
    29,574x = 44,256 × 44,256
  4. Step 4: Simplify right side
    29,574x = 1,958,593,536
  5. Step 5: Solve for x
    x = 1,958,593,536/29,574
  6. Step 6: Final answer
    x = 66,226.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.