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Finding the Third Proportional to 23,028 and 48,142

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Solution

The third proportional to 23,028 and 48,142 is: 100,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,028 : 48,142 = 48,142 : x
  2. Step 2: Convert to fraction form
    23,028/48,142 = 48,142/x
  3. Step 3: Cross multiply
    23,028x = 48,142 × 48,142
  4. Step 4: Simplify right side
    23,028x = 2,317,652,164
  5. Step 5: Solve for x
    x = 2,317,652,164/23,028
  6. Step 6: Final answer
    x = 100,644.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.