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Finding the Third Proportional to 31,018.50 and 66,408.75

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Solution

The third proportional to 31,018.50 and 66,408.75 is: 142,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,018.50 : 66,408.75 = 66,408.75 : x
  2. Step 2: Convert to fraction form
    31,018.50/66,408.75 = 66,408.75/x
  3. Step 3: Cross multiply
    31,018.50x = 66,408.75 × 66,408.75
  4. Step 4: Simplify right side
    31,018.50x = 4,410,122,076.56
  5. Step 5: Solve for x
    x = 4,410,122,076.56/31,018.50
  6. Step 6: Final answer
    x = 142,177.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.