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Finding the Third Proportional to 20,062 and 43,664

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Solution

The third proportional to 20,062 and 43,664 is: 95,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,062 : 43,664 = 43,664 : x
  2. Step 2: Convert to fraction form
    20,062/43,664 = 43,664/x
  3. Step 3: Cross multiply
    20,062x = 43,664 × 43,664
  4. Step 4: Simplify right side
    20,062x = 1,906,544,896
  5. Step 5: Solve for x
    x = 1,906,544,896/20,062
  6. Step 6: Final answer
    x = 95,032.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.