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Finding the Third Proportional to 38,994 and 57,627

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Solution

The third proportional to 38,994 and 57,627 is: 85,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,994 : 57,627 = 57,627 : x
  2. Step 2: Convert to fraction form
    38,994/57,627 = 57,627/x
  3. Step 3: Cross multiply
    38,994x = 57,627 × 57,627
  4. Step 4: Simplify right side
    38,994x = 3,320,871,129
  5. Step 5: Solve for x
    x = 3,320,871,129/38,994
  6. Step 6: Final answer
    x = 85,163.64

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.