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Finding the Third Proportional to 20,740 and 31,109

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Solution

The third proportional to 20,740 and 31,109 is: 46,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,740 : 31,109 = 31,109 : x
  2. Step 2: Convert to fraction form
    20,740/31,109 = 31,109/x
  3. Step 3: Cross multiply
    20,740x = 31,109 × 31,109
  4. Step 4: Simplify right side
    20,740x = 967,769,881
  5. Step 5: Solve for x
    x = 967,769,881/20,740
  6. Step 6: Final answer
    x = 46,662.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.