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Finding the Third Proportional to 40,884 and 54,944

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Solution

The third proportional to 40,884 and 54,944 is: 73,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,884 : 54,944 = 54,944 : x
  2. Step 2: Convert to fraction form
    40,884/54,944 = 54,944/x
  3. Step 3: Cross multiply
    40,884x = 54,944 × 54,944
  4. Step 4: Simplify right side
    40,884x = 3,018,843,136
  5. Step 5: Solve for x
    x = 3,018,843,136/40,884
  6. Step 6: Final answer
    x = 73,839.23

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.