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Finding the Third Proportional to 10,704.94 and 15,215.06

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Solution

The third proportional to 10,704.94 and 15,215.06 is: 21,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.94 : 15,215.06 = 15,215.06 : x
  2. Step 2: Convert to fraction form
    10,704.94/15,215.06 = 15,215.06/x
  3. Step 3: Cross multiply
    10,704.94x = 15,215.06 × 15,215.06
  4. Step 4: Simplify right side
    10,704.94x = 231,498,126.88
  5. Step 5: Solve for x
    x = 231,498,126.88/10,704.94
  6. Step 6: Final answer
    x = 21,625.36

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.