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Finding the Third Proportional to 20,213 and 22,049

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Solution

The third proportional to 20,213 and 22,049 is: 24,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213 : 22,049 = 22,049 : x
  2. Step 2: Convert to fraction form
    20,213/22,049 = 22,049/x
  3. Step 3: Cross multiply
    20,213x = 22,049 × 22,049
  4. Step 4: Simplify right side
    20,213x = 486,158,401
  5. Step 5: Solve for x
    x = 486,158,401/20,213
  6. Step 6: Final answer
    x = 24,051.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.