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Finding the Third Proportional to 48,232 and 66,408

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Solution

The third proportional to 48,232 and 66,408 is: 91,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,232 : 66,408 = 66,408 : x
  2. Step 2: Convert to fraction form
    48,232/66,408 = 66,408/x
  3. Step 3: Cross multiply
    48,232x = 66,408 × 66,408
  4. Step 4: Simplify right side
    48,232x = 4,410,022,464
  5. Step 5: Solve for x
    x = 4,410,022,464/48,232
  6. Step 6: Final answer
    x = 91,433.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.