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Finding the Third Proportional to 22,467 and 30,487

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Solution

The third proportional to 22,467 and 30,487 is: 41,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467 : 30,487 = 30,487 : x
  2. Step 2: Convert to fraction form
    22,467/30,487 = 30,487/x
  3. Step 3: Cross multiply
    22,467x = 30,487 × 30,487
  4. Step 4: Simplify right side
    22,467x = 929,457,169
  5. Step 5: Solve for x
    x = 929,457,169/22,467
  6. Step 6: Final answer
    x = 41,369.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.