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Finding the Third Proportional to 20,744.44 and 44,447.06

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Solution

The third proportional to 20,744.44 and 44,447.06 is: 95,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744.44 : 44,447.06 = 44,447.06 : x
  2. Step 2: Convert to fraction form
    20,744.44/44,447.06 = 44,447.06/x
  3. Step 3: Cross multiply
    20,744.44x = 44,447.06 × 44,447.06
  4. Step 4: Simplify right side
    20,744.44x = 1,975,541,364.88
  5. Step 5: Solve for x
    x = 1,975,541,364.88/20,744.44
  6. Step 6: Final answer
    x = 95,232.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.