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Finding the Third Proportional to 23,228 and 47,692

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Solution

The third proportional to 23,228 and 47,692 is: 97,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228 : 47,692 = 47,692 : x
  2. Step 2: Convert to fraction form
    23,228/47,692 = 47,692/x
  3. Step 3: Cross multiply
    23,228x = 47,692 × 47,692
  4. Step 4: Simplify right side
    23,228x = 2,274,526,864
  5. Step 5: Solve for x
    x = 2,274,526,864/23,228
  6. Step 6: Final answer
    x = 97,921.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.