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Finding the Third Proportional to 31,568 and 44,872

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Solution

The third proportional to 31,568 and 44,872 is: 63,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568 : 44,872 = 44,872 : x
  2. Step 2: Convert to fraction form
    31,568/44,872 = 44,872/x
  3. Step 3: Cross multiply
    31,568x = 44,872 × 44,872
  4. Step 4: Simplify right side
    31,568x = 2,013,496,384
  5. Step 5: Solve for x
    x = 2,013,496,384/31,568
  6. Step 6: Final answer
    x = 63,782.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.