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Finding the Third Proportional to 20,690.44 and 49,744.13

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Solution

The third proportional to 20,690.44 and 49,744.13 is: 119,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.44 : 49,744.13 = 49,744.13 : x
  2. Step 2: Convert to fraction form
    20,690.44/49,744.13 = 49,744.13/x
  3. Step 3: Cross multiply
    20,690.44x = 49,744.13 × 49,744.13
  4. Step 4: Simplify right side
    20,690.44x = 2,474,477,972.02
  5. Step 5: Solve for x
    x = 2,474,477,972.02/20,690.44
  6. Step 6: Final answer
    x = 119,595.25

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.