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Finding the Third Proportional to 22,795 and 47,893

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Solution

The third proportional to 22,795 and 47,893 is: 100,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,795 : 47,893 = 47,893 : x
  2. Step 2: Convert to fraction form
    22,795/47,893 = 47,893/x
  3. Step 3: Cross multiply
    22,795x = 47,893 × 47,893
  4. Step 4: Simplify right side
    22,795x = 2,293,739,449
  5. Step 5: Solve for x
    x = 2,293,739,449/22,795
  6. Step 6: Final answer
    x = 100,624.67

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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.