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Finding the Third Proportional to 20,499.75 and 44,141.63

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Solution

The third proportional to 20,499.75 and 44,141.63 is: 95,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,499.75 : 44,141.63 = 44,141.63 : x
  2. Step 2: Convert to fraction form
    20,499.75/44,141.63 = 44,141.63/x
  3. Step 3: Cross multiply
    20,499.75x = 44,141.63 × 44,141.63
  4. Step 4: Simplify right side
    20,499.75x = 1,948,483,057.64
  5. Step 5: Solve for x
    x = 1,948,483,057.64/20,499.75
  6. Step 6: Final answer
    x = 95,049.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.