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Finding the Third Proportional to 14,884 and 22,477

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Solution

The third proportional to 14,884 and 22,477 is: 33,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884 : 22,477 = 22,477 : x
  2. Step 2: Convert to fraction form
    14,884/22,477 = 22,477/x
  3. Step 3: Cross multiply
    14,884x = 22,477 × 22,477
  4. Step 4: Simplify right side
    14,884x = 505,215,529
  5. Step 5: Solve for x
    x = 505,215,529/14,884
  6. Step 6: Final answer
    x = 33,943.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.