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Finding the Third Proportional to 20,770 and 22,894

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Solution

The third proportional to 20,770 and 22,894 is: 25,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770 : 22,894 = 22,894 : x
  2. Step 2: Convert to fraction form
    20,770/22,894 = 22,894/x
  3. Step 3: Cross multiply
    20,770x = 22,894 × 22,894
  4. Step 4: Simplify right side
    20,770x = 524,135,236
  5. Step 5: Solve for x
    x = 524,135,236/20,770
  6. Step 6: Final answer
    x = 25,235.21

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.