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Finding the Third Proportional to 20,088 and 42,012

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Solution

The third proportional to 20,088 and 42,012 is: 87,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,088 : 42,012 = 42,012 : x
  2. Step 2: Convert to fraction form
    20,088/42,012 = 42,012/x
  3. Step 3: Cross multiply
    20,088x = 42,012 × 42,012
  4. Step 4: Simplify right side
    20,088x = 1,765,008,144
  5. Step 5: Solve for x
    x = 1,765,008,144/20,088
  6. Step 6: Final answer
    x = 87,863.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.