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Finding the Third Proportional to 20,161.41 and 42,629.41

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Solution

The third proportional to 20,161.41 and 42,629.41 is: 90,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.41 : 42,629.41 = 42,629.41 : x
  2. Step 2: Convert to fraction form
    20,161.41/42,629.41 = 42,629.41/x
  3. Step 3: Cross multiply
    20,161.41x = 42,629.41 × 42,629.41
  4. Step 4: Simplify right side
    20,161.41x = 1,817,266,943.31
  5. Step 5: Solve for x
    x = 1,817,266,943.31/20,161.41
  6. Step 6: Final answer
    x = 90,135.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.