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Finding the Third Proportional to 14,525 and 33,627

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Solution

The third proportional to 14,525 and 33,627 is: 77,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,525 : 33,627 = 33,627 : x
  2. Step 2: Convert to fraction form
    14,525/33,627 = 33,627/x
  3. Step 3: Cross multiply
    14,525x = 33,627 × 33,627
  4. Step 4: Simplify right side
    14,525x = 1,130,775,129
  5. Step 5: Solve for x
    x = 1,130,775,129/14,525
  6. Step 6: Final answer
    x = 77,850.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.