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Finding the Third Proportional to 37,444 and 51,305

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Solution

The third proportional to 37,444 and 51,305 is: 70,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,444 : 51,305 = 51,305 : x
  2. Step 2: Convert to fraction form
    37,444/51,305 = 51,305/x
  3. Step 3: Cross multiply
    37,444x = 51,305 × 51,305
  4. Step 4: Simplify right side
    37,444x = 2,632,203,025
  5. Step 5: Solve for x
    x = 2,632,203,025/37,444
  6. Step 6: Final answer
    x = 70,297.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.