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Finding the Third Proportional to 16,128.50 and 25,344.75

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Solution

The third proportional to 16,128.50 and 25,344.75 is: 39,827.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.50 : 25,344.75 = 25,344.75 : x
  2. Step 2: Convert to fraction form
    16,128.50/25,344.75 = 25,344.75/x
  3. Step 3: Cross multiply
    16,128.50x = 25,344.75 × 25,344.75
  4. Step 4: Simplify right side
    16,128.50x = 642,356,352.56
  5. Step 5: Solve for x
    x = 642,356,352.56/16,128.50
  6. Step 6: Final answer
    x = 39,827.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.