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Finding the Third Proportional to 16,482 and 25,505

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Solution

The third proportional to 16,482 and 25,505 is: 39,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482 : 25,505 = 25,505 : x
  2. Step 2: Convert to fraction form
    16,482/25,505 = 25,505/x
  3. Step 3: Cross multiply
    16,482x = 25,505 × 25,505
  4. Step 4: Simplify right side
    16,482x = 650,505,025
  5. Step 5: Solve for x
    x = 650,505,025/16,482
  6. Step 6: Final answer
    x = 39,467.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.