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Finding the Third Proportional to 23,580 and 50,848

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Solution

The third proportional to 23,580 and 50,848 is: 109,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580 : 50,848 = 50,848 : x
  2. Step 2: Convert to fraction form
    23,580/50,848 = 50,848/x
  3. Step 3: Cross multiply
    23,580x = 50,848 × 50,848
  4. Step 4: Simplify right side
    23,580x = 2,585,519,104
  5. Step 5: Solve for x
    x = 2,585,519,104/23,580
  6. Step 6: Final answer
    x = 109,648.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.