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Finding the Third Proportional to 20,540 and 43,153

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Solution

The third proportional to 20,540 and 43,153 is: 90,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540 : 43,153 = 43,153 : x
  2. Step 2: Convert to fraction form
    20,540/43,153 = 43,153/x
  3. Step 3: Cross multiply
    20,540x = 43,153 × 43,153
  4. Step 4: Simplify right side
    20,540x = 1,862,181,409
  5. Step 5: Solve for x
    x = 1,862,181,409/20,540
  6. Step 6: Final answer
    x = 90,661.22

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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.