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Finding the Third Proportional to 36,407 and 54,944

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Solution

The third proportional to 36,407 and 54,944 is: 82,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,407 : 54,944 = 54,944 : x
  2. Step 2: Convert to fraction form
    36,407/54,944 = 54,944/x
  3. Step 3: Cross multiply
    36,407x = 54,944 × 54,944
  4. Step 4: Simplify right side
    36,407x = 3,018,843,136
  5. Step 5: Solve for x
    x = 3,018,843,136/36,407
  6. Step 6: Final answer
    x = 82,919.30

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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.