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Finding the Third Proportional to 22,902 and 47,558

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Solution

The third proportional to 22,902 and 47,558 is: 98,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902 : 47,558 = 47,558 : x
  2. Step 2: Convert to fraction form
    22,902/47,558 = 47,558/x
  3. Step 3: Cross multiply
    22,902x = 47,558 × 47,558
  4. Step 4: Simplify right side
    22,902x = 2,261,763,364
  5. Step 5: Solve for x
    x = 2,261,763,364/22,902
  6. Step 6: Final answer
    x = 98,758.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.