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Finding the Third Proportional to 20,742 and 43,510

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Solution

The third proportional to 20,742 and 43,510 is: 91,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742 : 43,510 = 43,510 : x
  2. Step 2: Convert to fraction form
    20,742/43,510 = 43,510/x
  3. Step 3: Cross multiply
    20,742x = 43,510 × 43,510
  4. Step 4: Simplify right side
    20,742x = 1,893,120,100
  5. Step 5: Solve for x
    x = 1,893,120,100/20,742
  6. Step 6: Final answer
    x = 91,269.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.