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Finding the Third Proportional to 37,318 and 55,954

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Solution

The third proportional to 37,318 and 55,954 is: 83,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,318 : 55,954 = 55,954 : x
  2. Step 2: Convert to fraction form
    37,318/55,954 = 55,954/x
  3. Step 3: Cross multiply
    37,318x = 55,954 × 55,954
  4. Step 4: Simplify right side
    37,318x = 3,130,850,116
  5. Step 5: Solve for x
    x = 3,130,850,116/37,318
  6. Step 6: Final answer
    x = 83,896.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.