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Finding the Third Proportional to 20,003 and 22,487

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Solution

The third proportional to 20,003 and 22,487 is: 25,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003 : 22,487 = 22,487 : x
  2. Step 2: Convert to fraction form
    20,003/22,487 = 22,487/x
  3. Step 3: Cross multiply
    20,003x = 22,487 × 22,487
  4. Step 4: Simplify right side
    20,003x = 505,665,169
  5. Step 5: Solve for x
    x = 505,665,169/20,003
  6. Step 6: Final answer
    x = 25,279.47

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.