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Finding the Third Proportional to 20,477.25 and 44,969.63

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Solution

The third proportional to 20,477.25 and 44,969.63 is: 98,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.25 : 44,969.63 = 44,969.63 : x
  2. Step 2: Convert to fraction form
    20,477.25/44,969.63 = 44,969.63/x
  3. Step 3: Cross multiply
    20,477.25x = 44,969.63 × 44,969.63
  4. Step 4: Simplify right side
    20,477.25x = 2,022,267,172.64
  5. Step 5: Solve for x
    x = 2,022,267,172.64/20,477.25
  6. Step 6: Final answer
    x = 98,756.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.