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Finding the Third Proportional to 16,436.25 and 24,647.63

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Solution

The third proportional to 16,436.25 and 24,647.63 is: 36,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,436.25 : 24,647.63 = 24,647.63 : x
  2. Step 2: Convert to fraction form
    16,436.25/24,647.63 = 24,647.63/x
  3. Step 3: Cross multiply
    16,436.25x = 24,647.63 × 24,647.63
  4. Step 4: Simplify right side
    16,436.25x = 607,505,418.14
  5. Step 5: Solve for x
    x = 607,505,418.14/16,436.25
  6. Step 6: Final answer
    x = 36,961.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.