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Finding the Third Proportional to 20,234.81 and 30,634.31

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Solution

The third proportional to 20,234.81 and 30,634.31 is: 46,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.81 : 30,634.31 = 30,634.31 : x
  2. Step 2: Convert to fraction form
    20,234.81/30,634.31 = 30,634.31/x
  3. Step 3: Cross multiply
    20,234.81x = 30,634.31 × 30,634.31
  4. Step 4: Simplify right side
    20,234.81x = 938,461,102.35
  5. Step 5: Solve for x
    x = 938,461,102.35/20,234.81
  6. Step 6: Final answer
    x = 46,378.54

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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.