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Finding the Third Proportional to 20,472.75 and 44,651.25

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Solution

The third proportional to 20,472.75 and 44,651.25 is: 97,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.75 : 44,651.25 = 44,651.25 : x
  2. Step 2: Convert to fraction form
    20,472.75/44,651.25 = 44,651.25/x
  3. Step 3: Cross multiply
    20,472.75x = 44,651.25 × 44,651.25
  4. Step 4: Simplify right side
    20,472.75x = 1,993,734,126.56
  5. Step 5: Solve for x
    x = 1,993,734,126.56/20,472.75
  6. Step 6: Final answer
    x = 97,384.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.