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Finding the Third Proportional to 21,204 and 48,848

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Solution

The third proportional to 21,204 and 48,848 is: 112,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204 : 48,848 = 48,848 : x
  2. Step 2: Convert to fraction form
    21,204/48,848 = 48,848/x
  3. Step 3: Cross multiply
    21,204x = 48,848 × 48,848
  4. Step 4: Simplify right side
    21,204x = 2,386,127,104
  5. Step 5: Solve for x
    x = 2,386,127,104/21,204
  6. Step 6: Final answer
    x = 112,531.93

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.