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Finding the Third Proportional to 20,075 and 41,743

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Solution

The third proportional to 20,075 and 41,743 is: 86,798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075 : 41,743 = 41,743 : x
  2. Step 2: Convert to fraction form
    20,075/41,743 = 41,743/x
  3. Step 3: Cross multiply
    20,075x = 41,743 × 41,743
  4. Step 4: Simplify right side
    20,075x = 1,742,478,049
  5. Step 5: Solve for x
    x = 1,742,478,049/20,075
  6. Step 6: Final answer
    x = 86,798.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.