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Finding the Third Proportional to 22,828 and 47,192

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Solution

The third proportional to 22,828 and 47,192 is: 97,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,828 : 47,192 = 47,192 : x
  2. Step 2: Convert to fraction form
    22,828/47,192 = 47,192/x
  3. Step 3: Cross multiply
    22,828x = 47,192 × 47,192
  4. Step 4: Simplify right side
    22,828x = 2,227,084,864
  5. Step 5: Solve for x
    x = 2,227,084,864/22,828
  6. Step 6: Final answer
    x = 97,559.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.