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Finding the Third Proportional to 20,041 and 42,817

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Solution

The third proportional to 20,041 and 42,817 is: 91,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,041 : 42,817 = 42,817 : x
  2. Step 2: Convert to fraction form
    20,041/42,817 = 42,817/x
  3. Step 3: Cross multiply
    20,041x = 42,817 × 42,817
  4. Step 4: Simplify right side
    20,041x = 1,833,295,489
  5. Step 5: Solve for x
    x = 1,833,295,489/20,041
  6. Step 6: Final answer
    x = 91,477.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.