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Finding the Third Proportional to 14,884 and 22,388

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Solution

The third proportional to 14,884 and 22,388 is: 33,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884 : 22,388 = 22,388 : x
  2. Step 2: Convert to fraction form
    14,884/22,388 = 22,388/x
  3. Step 3: Cross multiply
    14,884x = 22,388 × 22,388
  4. Step 4: Simplify right side
    14,884x = 501,222,544
  5. Step 5: Solve for x
    x = 501,222,544/14,884
  6. Step 6: Final answer
    x = 33,675.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.