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Finding the Third Proportional to 16,214.50 and 25,375

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Solution

The third proportional to 16,214.50 and 25,375 is: 39,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.50 : 25,375 = 25,375 : x
  2. Step 2: Convert to fraction form
    16,214.50/25,375 = 25,375/x
  3. Step 3: Cross multiply
    16,214.50x = 25,375 × 25,375
  4. Step 4: Simplify right side
    16,214.50x = 643,890,625
  5. Step 5: Solve for x
    x = 643,890,625/16,214.50
  6. Step 6: Final answer
    x = 39,710.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.