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Finding the Third Proportional to 13,215.87 and 27,729.11

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Solution

The third proportional to 13,215.87 and 27,729.11 is: 58,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.87 : 27,729.11 = 27,729.11 : x
  2. Step 2: Convert to fraction form
    13,215.87/27,729.11 = 27,729.11/x
  3. Step 3: Cross multiply
    13,215.87x = 27,729.11 × 27,729.11
  4. Step 4: Simplify right side
    13,215.87x = 768,903,290.10
  5. Step 5: Solve for x
    x = 768,903,290.10/13,215.87
  6. Step 6: Final answer
    x = 58,180.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.