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Finding the Third Proportional to 8,745.75 and 13,116.94

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Solution

The third proportional to 8,745.75 and 13,116.94 is: 19,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,745.75 : 13,116.94 = 13,116.94 : x
  2. Step 2: Convert to fraction form
    8,745.75/13,116.94 = 13,116.94/x
  3. Step 3: Cross multiply
    8,745.75x = 13,116.94 × 13,116.94
  4. Step 4: Simplify right side
    8,745.75x = 172,054,049.38
  5. Step 5: Solve for x
    x = 172,054,049.38/8,745.75
  6. Step 6: Final answer
    x = 19,672.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.