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Finding the Third Proportional to 21,627 and 27,634.50

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Solution

The third proportional to 21,627 and 27,634.50 is: 35,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,627 : 27,634.50 = 27,634.50 : x
  2. Step 2: Convert to fraction form
    21,627/27,634.50 = 27,634.50/x
  3. Step 3: Cross multiply
    21,627x = 27,634.50 × 27,634.50
  4. Step 4: Simplify right side
    21,627x = 763,665,590.25
  5. Step 5: Solve for x
    x = 763,665,590.25/21,627
  6. Step 6: Final answer
    x = 35,310.75

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.