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Finding the Third Proportional to 31,848 and 48,996

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Solution

The third proportional to 31,848 and 48,996 is: 75,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848 : 48,996 = 48,996 : x
  2. Step 2: Convert to fraction form
    31,848/48,996 = 48,996/x
  3. Step 3: Cross multiply
    31,848x = 48,996 × 48,996
  4. Step 4: Simplify right side
    31,848x = 2,400,608,016
  5. Step 5: Solve for x
    x = 2,400,608,016/31,848
  6. Step 6: Final answer
    x = 75,377.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.