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Finding the Third Proportional to 11,032 and 23,192

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Solution

The third proportional to 11,032 and 23,192 is: 48,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032 : 23,192 = 23,192 : x
  2. Step 2: Convert to fraction form
    11,032/23,192 = 23,192/x
  3. Step 3: Cross multiply
    11,032x = 23,192 × 23,192
  4. Step 4: Simplify right side
    11,032x = 537,868,864
  5. Step 5: Solve for x
    x = 537,868,864/11,032
  6. Step 6: Final answer
    x = 48,755.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.