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Finding the Third Proportional to 13,087.50 and 17,025

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Solution

The third proportional to 13,087.50 and 17,025 is: 22,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,087.50 : 17,025 = 17,025 : x
  2. Step 2: Convert to fraction form
    13,087.50/17,025 = 17,025/x
  3. Step 3: Cross multiply
    13,087.50x = 17,025 × 17,025
  4. Step 4: Simplify right side
    13,087.50x = 289,850,625
  5. Step 5: Solve for x
    x = 289,850,625/13,087.50
  6. Step 6: Final answer
    x = 22,147.13

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.