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Finding the Third Proportional to 20,230.49 and 30,626.81

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Solution

The third proportional to 20,230.49 and 30,626.81 is: 46,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.49 : 30,626.81 = 30,626.81 : x
  2. Step 2: Convert to fraction form
    20,230.49/30,626.81 = 30,626.81/x
  3. Step 3: Cross multiply
    20,230.49x = 30,626.81 × 30,626.81
  4. Step 4: Simplify right side
    20,230.49x = 938,001,285.00
  5. Step 5: Solve for x
    x = 938,001,285.00/20,230.49
  6. Step 6: Final answer
    x = 46,365.73

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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.