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Finding the Third Proportional to 16,477.13 and 38,879.63

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Solution

The third proportional to 16,477.13 and 38,879.63 is: 91,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.13 : 38,879.63 = 38,879.63 : x
  2. Step 2: Convert to fraction form
    16,477.13/38,879.63 = 38,879.63/x
  3. Step 3: Cross multiply
    16,477.13x = 38,879.63 × 38,879.63
  4. Step 4: Simplify right side
    16,477.13x = 1,511,625,240.14
  5. Step 5: Solve for x
    x = 1,511,625,240.14/16,477.13
  6. Step 6: Final answer
    x = 91,740.84

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.