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Finding the Third Proportional to 20,416.22 and 30,743.30

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Solution

The third proportional to 20,416.22 and 30,743.30 is: 46,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416.22 : 30,743.30 = 30,743.30 : x
  2. Step 2: Convert to fraction form
    20,416.22/30,743.30 = 30,743.30/x
  3. Step 3: Cross multiply
    20,416.22x = 30,743.30 × 30,743.30
  4. Step 4: Simplify right side
    20,416.22x = 945,150,302.74
  5. Step 5: Solve for x
    x = 945,150,302.74/20,416.22
  6. Step 6: Final answer
    x = 46,294.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.