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Finding the Third Proportional to 22,436 and 30,484

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Solution

The third proportional to 22,436 and 30,484 is: 41,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,436 : 30,484 = 30,484 : x
  2. Step 2: Convert to fraction form
    22,436/30,484 = 30,484/x
  3. Step 3: Cross multiply
    22,436x = 30,484 × 30,484
  4. Step 4: Simplify right side
    22,436x = 929,274,256
  5. Step 5: Solve for x
    x = 929,274,256/22,436
  6. Step 6: Final answer
    x = 41,418.89

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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.