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Finding the Third Proportional to 31,019 and 44,305

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Solution

The third proportional to 31,019 and 44,305 is: 63,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019 : 44,305 = 44,305 : x
  2. Step 2: Convert to fraction form
    31,019/44,305 = 44,305/x
  3. Step 3: Cross multiply
    31,019x = 44,305 × 44,305
  4. Step 4: Simplify right side
    31,019x = 1,962,933,025
  5. Step 5: Solve for x
    x = 1,962,933,025/31,019
  6. Step 6: Final answer
    x = 63,281.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.