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Finding the Third Proportional to 20,814.75 and 44,952.75

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Solution

The third proportional to 20,814.75 and 44,952.75 is: 97,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814.75 : 44,952.75 = 44,952.75 : x
  2. Step 2: Convert to fraction form
    20,814.75/44,952.75 = 44,952.75/x
  3. Step 3: Cross multiply
    20,814.75x = 44,952.75 × 44,952.75
  4. Step 4: Simplify right side
    20,814.75x = 2,020,749,732.56
  5. Step 5: Solve for x
    x = 2,020,749,732.56/20,814.75
  6. Step 6: Final answer
    x = 97,082.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.