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Finding the Third Proportional to 45,384.75 and 54,954

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Solution

The third proportional to 45,384.75 and 54,954 is: 66,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,384.75 : 54,954 = 54,954 : x
  2. Step 2: Convert to fraction form
    45,384.75/54,954 = 54,954/x
  3. Step 3: Cross multiply
    45,384.75x = 54,954 × 54,954
  4. Step 4: Simplify right side
    45,384.75x = 3,019,942,116
  5. Step 5: Solve for x
    x = 3,019,942,116/45,384.75
  6. Step 6: Final answer
    x = 66,540.90

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.