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Finding the Third Proportional to 13,627 and 21,107.50

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Solution

The third proportional to 13,627 and 21,107.50 is: 32,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627 : 21,107.50 = 21,107.50 : x
  2. Step 2: Convert to fraction form
    13,627/21,107.50 = 21,107.50/x
  3. Step 3: Cross multiply
    13,627x = 21,107.50 × 21,107.50
  4. Step 4: Simplify right side
    13,627x = 445,526,556.25
  5. Step 5: Solve for x
    x = 445,526,556.25/13,627
  6. Step 6: Final answer
    x = 32,694.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.