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Finding the Third Proportional to 16,254.75 and 25,505.38

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Solution

The third proportional to 16,254.75 and 25,505.38 is: 40,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.75 : 25,505.38 = 25,505.38 : x
  2. Step 2: Convert to fraction form
    16,254.75/25,505.38 = 25,505.38/x
  3. Step 3: Cross multiply
    16,254.75x = 25,505.38 × 25,505.38
  4. Step 4: Simplify right side
    16,254.75x = 650,524,153.89
  5. Step 5: Solve for x
    x = 650,524,153.89/16,254.75
  6. Step 6: Final answer
    x = 40,020.56

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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.