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Finding the Third Proportional to 20,589.19 and 44,954.37

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Solution

The third proportional to 20,589.19 and 44,954.37 is: 98,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.19 : 44,954.37 = 44,954.37 : x
  2. Step 2: Convert to fraction form
    20,589.19/44,954.37 = 44,954.37/x
  3. Step 3: Cross multiply
    20,589.19x = 44,954.37 × 44,954.37
  4. Step 4: Simplify right side
    20,589.19x = 2,020,895,129.23
  5. Step 5: Solve for x
    x = 2,020,895,129.23/20,589.19
  6. Step 6: Final answer
    x = 98,153.22

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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.